Integral dynamical models. Singularities, signals and control. Zbl 1311.45012
Sidorov, Denis |
|
2015
|
Numeric solution of Volterra integral equations of the first kind with discontinuous kernels. Zbl 1353.65137
Muftahov, Ildar; Tynda, Aleksandr; Sidorov, Denis |
|
2017
|
On parametric families of solutions of Volterra integral equations of the first kind with piecewise smooth kernel. Zbl 1348.45002
Sidorov, D. N. |
|
2013
|
Generalized quadrature for solving singular integral equations of Abel type in application to infrared tomography. Zbl 1416.65552
Sizikov, Valery; Sidorov, Denis |
|
2016
|
On the solvability of a class of Volterra operator equations of the first kind with piecewise continuous kernels. Zbl 1328.47015
Sidorov, N. A.; Sidorov, D. N. |
|
2014
|
Solvability of systems of Volterra integral equations of the first kind with piecewise continuous kernels. Zbl 1268.45003
Sidorov, D. N. |
|
2013
|
Convex majorants method in the theory of nonlinear Volterra equations. Zbl 1246.45004
Sidorov, Denis N.; Sidorov, Nikolai A. |
|
2012
|
Control of accuracy of Taylor-collocation method to solve the weakly regular Volterra integral equations of the first kind by using the CESTAC method. Zbl 1463.65432
Noeiaghdam, S.; Sidorov, D.; Sizikov, V.; Sidorov, N. |
|
2020
|
Existence and blow-up of Kantorovich principal continuous solutions of nonlinear integral equations. Zbl 1309.45003
Sidorov, D. N. |
|
2014
|
Existence and construction of generalized solutions of nonlinear Volterra integral equations of the first kind. Zbl 1136.45006
Sidorov, N. A.; Sidorov, D. N. |
|
2006
|
Solution of irregular systems of partial differential equations using skeleton decomposition of linear operators. Zbl 1378.35332
Sidorov, Denis Nikolaevich; Sidorov, Nikolaĭ Aleksandrovich |
|
2017
|
Numerical solution of Volterra integral equations of the first kind with piecewise continuous kernel. Zbl 1308.65222
Sidorov, D. N.; Tynda, A. N.; Muftahov, I. R. |
|
2014
|
Toward general theory of differential-operator and kinetic models. Zbl 1477.47001
Sidorov, Nikolay; Sidorov, Denis; Sinitsyn, Alexander |
|
2020
|
Solution of Volterra operator-integral equations in the nonregular case by the successive approximation method. Zbl 1214.45006
Sidorov, N. A.; Sidorov, D. N.; Krasnik, A. V. |
|
2010
|
Generalized solutions of Volterra integral equations of the first kind. Zbl 1132.45003
Sidorov, Nikolai A.; Falaleev, Michail V.; Sidorov, Denis N. |
|
2006
|
Solving the Hammerstein integral equation in the irregular case by successive approximations. Zbl 1248.45004
Sidorov, N. A.; Sidorov, D. N. |
|
2010
|
Solvability and numerical solutions of systems of nonlinear Volterra integral equations of the first kind with piecewise continuous kernels. Zbl 1338.45002
Muftahov, I. R.; Sidorov, D. N. |
|
2016
|
On one integral Volterra model of developing dynamical systems. Zbl 1297.45004
Markova, E. V.; Sidorov, D. N. |
|
2014
|
Two relaxed quadratic function negative-determination lemmas: application to time-delay systems. Zbl 1505.93139
Liu, Fang; Liu, Haitao; Li, Yong; Sidorov, Denis |
|
2023
|
Control of accuracy on Taylor-collocation method for load leveling problem. Zbl 1432.65200
Noeiaghdam, Samad; Sidorov, Denis Nikolaevich; Muftahov, Il’dar Rinatovich; Zhukov, Alekseĭ Vital’evich |
|
2019
|
Lavrentiev regularization of integral equations of the first kind in the space of continuous functions. Zbl 1348.45001
Muftahov, Il’dar Rinatovich; Sidorov, Denis Nikolaevich; Sidorov, Nikolaĭ Aleksandrovich |
|
2016
|
Small solutions of nonlinear differential equations near branching points. Zbl 1235.34031
Sidorov, N. A.; Sidorov, D. N. |
|
2011
|
On perturbation method for the first kind equations: regularization and application. Zbl 1342.47018
Muftahov, I. R.; Sidorov, D. N.; Sidorov, N. A. |
|
2015
|
Polynomial spline collocation method for solving weakly regular Volterra integral equations of the first kind. Zbl 1485.65136
Tynda, Aleksandr Nikolaevich; Noĭyagdam, Samad; Sidorov, Denis Nikolaevich |
|
2022
|
Solution to the Volterra equations of the 1st kind with discontinuous kernels in the class of generalized functions. Zbl 1264.45004
Sidorov, Denis Nikolaevich |
|
2012
|
Generalized solutions in the problem of dynamical systems modeling by Volterra polynomials. Zbl 1229.93033
Sidorov, D. N.; Sidorov, N. A. |
|
2011
|
Numerical method for systems of nonlinear Volterra integral equations of the first kind with discontinuous kernels. Zbl 1424.65257
Tynda, A. N.; Sidorov, D. N.; Muftahov, I. R. |
|
2018
|
Book review of: N. A. Sidorov et al., Toward general theory of differential-operator and kinetic models. Zbl 1484.00068
Sidorov, N. A.; Sidorov, D. N.; Sinitsyn, A. V. |
|
2020
|
Generalized solution to the Volterra equations with piecewise continuous kernels. Zbl 1314.45004
Sidorov, Denis N. |
|
2014
|
Volterra equation based models for energy storage usage based on load forecast in EPS with renewable generation. Zbl 1409.45003
Sidorov, Denis Nikolaevich; Zhukov, Alekseĭ Vital’evich; Muftakhov, Il’dar Rinatovich |
|
2018
|
Perturbation theory and the Banach-Steinhaus theorem for regularization of the linear equations of the first kind. Zbl 1358.47008
Sidorov, Nikolaĭ Aleksandrovich; Sidorov, Denis Nikolaevich; Muftahov, Ildar Rinatovich |
|
2015
|
Nonlinear Volterra equations with loads and bifurcation parameters: existence theorems and construction of solutions. Zbl 1486.45003
Sidorov, N. A.; Sidorov, D. N. |
|
2021
|
Volterra integral equations of the first kind with piecewise continuous kernels in the theory of evolving systems modeling. Zbl 1261.65139
Markova, Evgeniya Vladimirovna; Sidorov, Denis Nikolaevich |
|
2012
|
Dynamical strategy on homotopy perturbation method for solving second kind integral equations using the CESTAC method. Zbl 1492.65367
Noeiaghdam, Samad; Fariborzi Araghi, Mohammad Ali; Sidorov, Denis |
|
2022
|
Modeling of nonlinear nonstationary dynamical systems by Volterra series: identification and application. Zbl 0951.93021
Sidorov, D. N. |
|
2000
|
Generalized solutions of nonlinear integral-functional equations. Zbl 1120.45002
Sidorov, N. A.; Trufanov, A. V.; Sidorov, D. N. |
|
2006
|
Solution to the Volterra integral equations of the first kind with discontinuous kernels. Zbl 1413.45004
Sidorov, D. N. |
|
2012
|
Successive approximations to the solutions to nonlinear equations with a vector parameter in a nonregular case. Zbl 1324.47107
Sidorov, N. A.; Sidorov, D. N.; Leont’ev, R. Yu. |
|
2012
|
Forecasting nonstationary time series based on Hilbert-Huang transform and machine learning. Zbl 1306.62199
Kurbatsky, V. G.; Sidorov, D. N.; Spiryaev, V. A.; Tomin, N. V. |
|
2014
|
Areas of attraction of equilibrium points of nonlinear systems: stability, branching and blow-up of solutions. Zbl 1409.34058
Sidorov, Nikolaĭ Aleksandrovich; Sidorov, Denis Nikolaevich; Li, Yong |
|
2018
|
A suite of intelligent tools for early detection and prevention of blackouts in power interconnections. Zbl 1407.93295
Voropai, N. I.; Tomin, N. V.; Sidorov, D. N.; Kurbatsky, V. G.; Panasetsky, D. A.; Zhukov, A. V.; Efimov, D. N.; Osak, A. B. |
|
2018
|
Method of monotone majorants of the theory of nonlinear Volterra equations. Zbl 1272.45006
Sidorov, Denis Nikolaevich; Sidorov, Nikolaĭ Aleksandrovich |
|
2011
|
Generalized solutions to integral equations in the problem of identification of nonlinear dynamic models. Zbl 1181.93025
Sidorov, N. A.; Sidorov, D. N. |
|
2009
|
Branching solutions of nonlinear differential equations of \(n\)-th order. Zbl 1270.34015
Sidorov, Nikolaĭ Aleksandrovich; Sidorov, Denis Nikolaevich |
|
2010
|
Modification of random forest based approach for streaming data with concept drift. Zbl 1442.68210
Zhukov, A. V.; Sidorov, D. N. |
|
2016
|
Generalized solutions of Volterra integral equations of the first kind. Zbl 1113.45002
Falaleev, M. V.; Sidorov, N. A.; Sidorov, D. N. |
|
2005
|
Two relaxed quadratic function negative-determination lemmas: application to time-delay systems. Zbl 1505.93139
Liu, Fang; Liu, Haitao; Li, Yong; Sidorov, Denis |
|
2023
|
Polynomial spline collocation method for solving weakly regular Volterra integral equations of the first kind. Zbl 1485.65136
Tynda, Aleksandr Nikolaevich; Noĭyagdam, Samad; Sidorov, Denis Nikolaevich |
|
2022
|
Dynamical strategy on homotopy perturbation method for solving second kind integral equations using the CESTAC method. Zbl 1492.65367
Noeiaghdam, Samad; Fariborzi Araghi, Mohammad Ali; Sidorov, Denis |
|
2022
|
Nonlinear Volterra equations with loads and bifurcation parameters: existence theorems and construction of solutions. Zbl 1486.45003
Sidorov, N. A.; Sidorov, D. N. |
|
2021
|
Control of accuracy of Taylor-collocation method to solve the weakly regular Volterra integral equations of the first kind by using the CESTAC method. Zbl 1463.65432
Noeiaghdam, S.; Sidorov, D.; Sizikov, V.; Sidorov, N. |
|
2020
|
Toward general theory of differential-operator and kinetic models. Zbl 1477.47001
Sidorov, Nikolay; Sidorov, Denis; Sinitsyn, Alexander |
|
2020
|
Book review of: N. A. Sidorov et al., Toward general theory of differential-operator and kinetic models. Zbl 1484.00068
Sidorov, N. A.; Sidorov, D. N.; Sinitsyn, A. V. |
|
2020
|
Control of accuracy on Taylor-collocation method for load leveling problem. Zbl 1432.65200
Noeiaghdam, Samad; Sidorov, Denis Nikolaevich; Muftahov, Il’dar Rinatovich; Zhukov, Alekseĭ Vital’evich |
|
2019
|
Numerical method for systems of nonlinear Volterra integral equations of the first kind with discontinuous kernels. Zbl 1424.65257
Tynda, A. N.; Sidorov, D. N.; Muftahov, I. R. |
|
2018
|
Volterra equation based models for energy storage usage based on load forecast in EPS with renewable generation. Zbl 1409.45003
Sidorov, Denis Nikolaevich; Zhukov, Alekseĭ Vital’evich; Muftakhov, Il’dar Rinatovich |
|
2018
|
Areas of attraction of equilibrium points of nonlinear systems: stability, branching and blow-up of solutions. Zbl 1409.34058
Sidorov, Nikolaĭ Aleksandrovich; Sidorov, Denis Nikolaevich; Li, Yong |
|
2018
|
A suite of intelligent tools for early detection and prevention of blackouts in power interconnections. Zbl 1407.93295
Voropai, N. I.; Tomin, N. V.; Sidorov, D. N.; Kurbatsky, V. G.; Panasetsky, D. A.; Zhukov, A. V.; Efimov, D. N.; Osak, A. B. |
|
2018
|
Numeric solution of Volterra integral equations of the first kind with discontinuous kernels. Zbl 1353.65137
Muftahov, Ildar; Tynda, Aleksandr; Sidorov, Denis |
|
2017
|
Solution of irregular systems of partial differential equations using skeleton decomposition of linear operators. Zbl 1378.35332
Sidorov, Denis Nikolaevich; Sidorov, Nikolaĭ Aleksandrovich |
|
2017
|
Generalized quadrature for solving singular integral equations of Abel type in application to infrared tomography. Zbl 1416.65552
Sizikov, Valery; Sidorov, Denis |
|
2016
|
Solvability and numerical solutions of systems of nonlinear Volterra integral equations of the first kind with piecewise continuous kernels. Zbl 1338.45002
Muftahov, I. R.; Sidorov, D. N. |
|
2016
|
Lavrentiev regularization of integral equations of the first kind in the space of continuous functions. Zbl 1348.45001
Muftahov, Il’dar Rinatovich; Sidorov, Denis Nikolaevich; Sidorov, Nikolaĭ Aleksandrovich |
|
2016
|
Modification of random forest based approach for streaming data with concept drift. Zbl 1442.68210
Zhukov, A. V.; Sidorov, D. N. |
|
2016
|
Integral dynamical models. Singularities, signals and control. Zbl 1311.45012
Sidorov, Denis |
|
2015
|
On perturbation method for the first kind equations: regularization and application. Zbl 1342.47018
Muftahov, I. R.; Sidorov, D. N.; Sidorov, N. A. |
|
2015
|
Perturbation theory and the Banach-Steinhaus theorem for regularization of the linear equations of the first kind. Zbl 1358.47008
Sidorov, Nikolaĭ Aleksandrovich; Sidorov, Denis Nikolaevich; Muftahov, Ildar Rinatovich |
|
2015
|
On the solvability of a class of Volterra operator equations of the first kind with piecewise continuous kernels. Zbl 1328.47015
Sidorov, N. A.; Sidorov, D. N. |
|
2014
|
Existence and blow-up of Kantorovich principal continuous solutions of nonlinear integral equations. Zbl 1309.45003
Sidorov, D. N. |
|
2014
|
Numerical solution of Volterra integral equations of the first kind with piecewise continuous kernel. Zbl 1308.65222
Sidorov, D. N.; Tynda, A. N.; Muftahov, I. R. |
|
2014
|
On one integral Volterra model of developing dynamical systems. Zbl 1297.45004
Markova, E. V.; Sidorov, D. N. |
|
2014
|
Generalized solution to the Volterra equations with piecewise continuous kernels. Zbl 1314.45004
Sidorov, Denis N. |
|
2014
|
Forecasting nonstationary time series based on Hilbert-Huang transform and machine learning. Zbl 1306.62199
Kurbatsky, V. G.; Sidorov, D. N.; Spiryaev, V. A.; Tomin, N. V. |
|
2014
|
On parametric families of solutions of Volterra integral equations of the first kind with piecewise smooth kernel. Zbl 1348.45002
Sidorov, D. N. |
|
2013
|
Solvability of systems of Volterra integral equations of the first kind with piecewise continuous kernels. Zbl 1268.45003
Sidorov, D. N. |
|
2013
|
Convex majorants method in the theory of nonlinear Volterra equations. Zbl 1246.45004
Sidorov, Denis N.; Sidorov, Nikolai A. |
|
2012
|
Solution to the Volterra equations of the 1st kind with discontinuous kernels in the class of generalized functions. Zbl 1264.45004
Sidorov, Denis Nikolaevich |
|
2012
|
Volterra integral equations of the first kind with piecewise continuous kernels in the theory of evolving systems modeling. Zbl 1261.65139
Markova, Evgeniya Vladimirovna; Sidorov, Denis Nikolaevich |
|
2012
|
Solution to the Volterra integral equations of the first kind with discontinuous kernels. Zbl 1413.45004
Sidorov, D. N. |
|
2012
|
Successive approximations to the solutions to nonlinear equations with a vector parameter in a nonregular case. Zbl 1324.47107
Sidorov, N. A.; Sidorov, D. N.; Leont’ev, R. Yu. |
|
2012
|
Small solutions of nonlinear differential equations near branching points. Zbl 1235.34031
Sidorov, N. A.; Sidorov, D. N. |
|
2011
|
Generalized solutions in the problem of dynamical systems modeling by Volterra polynomials. Zbl 1229.93033
Sidorov, D. N.; Sidorov, N. A. |
|
2011
|
Method of monotone majorants of the theory of nonlinear Volterra equations. Zbl 1272.45006
Sidorov, Denis Nikolaevich; Sidorov, Nikolaĭ Aleksandrovich |
|
2011
|
Solution of Volterra operator-integral equations in the nonregular case by the successive approximation method. Zbl 1214.45006
Sidorov, N. A.; Sidorov, D. N.; Krasnik, A. V. |
|
2010
|
Solving the Hammerstein integral equation in the irregular case by successive approximations. Zbl 1248.45004
Sidorov, N. A.; Sidorov, D. N. |
|
2010
|
Branching solutions of nonlinear differential equations of \(n\)-th order. Zbl 1270.34015
Sidorov, Nikolaĭ Aleksandrovich; Sidorov, Denis Nikolaevich |
|
2010
|
Generalized solutions to integral equations in the problem of identification of nonlinear dynamic models. Zbl 1181.93025
Sidorov, N. A.; Sidorov, D. N. |
|
2009
|
Existence and construction of generalized solutions of nonlinear Volterra integral equations of the first kind. Zbl 1136.45006
Sidorov, N. A.; Sidorov, D. N. |
|
2006
|
Generalized solutions of Volterra integral equations of the first kind. Zbl 1132.45003
Sidorov, Nikolai A.; Falaleev, Michail V.; Sidorov, Denis N. |
|
2006
|
Generalized solutions of nonlinear integral-functional equations. Zbl 1120.45002
Sidorov, N. A.; Trufanov, A. V.; Sidorov, D. N. |
|
2006
|
Generalized solutions of Volterra integral equations of the first kind. Zbl 1113.45002
Falaleev, M. V.; Sidorov, N. A.; Sidorov, D. N. |
|
2005
|
Modeling of nonlinear nonstationary dynamical systems by Volterra series: identification and application. Zbl 0951.93021
Sidorov, D. N. |
|
2000
|