Found 318 Documents (Results 1–100)
An efficient numerical scheme to solve generalized Abel’s integral equations with delay arguments utilizing locally supported RBFs. (English) Zbl 1542.65192
On the center problem for generalized Abel equations. (English) Zbl 1540.34069
Reviewer: Klaus R. Schneider (Berlin)
The \(h\)-Fourier cosine-Laplace generalized convolution with a weight function. (English) Zbl 07751562
Reviewer: Takeshi Kawazoe (Yokohama)
The \(h\)-Fourier sine-Laplace discrete generalized convolution on time scale. (English) Zbl 1522.42017
Reviewer: Raymond Johnson (Columbia)
A spectral approach to non-linear weakly singular fractional integro-differential equations. (English) Zbl 1509.45002
Nontrivial limit cycles in a kind of piecewise smooth generalized Abel equation. (English) Zbl 07847230
Three pieces Riemann problem for 2-D full Euler system in the Noble-Abel gas. (English) Zbl 1530.35201
An extension of the Abel-Liouville identity. (English) Zbl 1517.34018
Reviewer: Jonathan Stanfill (Columbus)
Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space. (English) Zbl 1502.65280
Nonlinear integral equations with potential-type kernels in the nonperiodic case. (English. Russian original) Zbl 1494.45006
J. Math. Sci., New York 263, No. 4, 463-474 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 170, 3-14 (2019).
On numerical solution of one class of integral equations of the third kind. (English. Russian original) Zbl 1484.65338
Comput. Math. Math. Phys. 62, No. 2, 316-324 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 2, 320-329 (2022).
On the number of limit cycles in piecewise smooth generalized Abel equations with two asymmetric zones. (English) Zbl 1482.34092
Raising the regularity of generalized Abel equations in fractional Sobolev spaces with homogeneous boundary conditions. (English) Zbl 1491.45001
Invertibility issues for a class of Wiener-Hopf plus Hankel operators. (English) Zbl 07428328
Reviewer: Mohammed El Aïdi (Bogotá)
Approximation of function belonging to generalized Hölder’s class by first and second kind Chebyshev wavelets and their applications in the solutions of Abel’s integral equations. (English) Zbl 1464.42031
Reviewer: Gustaf Gripenberg (Aalto)
Characterization of the existence of non-trivial limit cycles for generalized Abel equations. (English) Zbl 1466.34038
Reviewer: Klaus R. Schneider (Berlin)
MSC:
34C25
Certain Grüss-type inequalities via tempered fractional integrals concerning another function. (English) Zbl 1503.26073
The generalized Abel’s integral equations on \(R^n\) with variable coefficients. (English) Zbl 1488.45014
An efficient solution of system of generalized Abel integral equations using Bernstein polynomials wavelet bases. (English) Zbl 07372041
A generalized barycentric rational interpolation method for generalized Abel integral equations. (English) Zbl 1460.65159
On the number of limit cycles in generalized Abel equations. (English) Zbl 1472.34065
Reviewer: Klaus R. Schneider (Berlin)
A spectral Chelyshkov wavelet method to solve systems of nonlinear weakly singular Volterra integral equations. (English) Zbl 1488.65754
On solvability in the class of distributions of degenerate integro-differential equations in Banach spaces. (Russian. English summary) Zbl 1474.45025
An efficient algorithm for numerical inversion of system of generalized Abel integral equations. (English) Zbl 1455.65232
Centers of planar generalized Abel equations. (English) Zbl 1451.34031
Reviewer: Klaus R. Schneider (Berlin)
Toeplitz matrices and operators. Translated from the French by Danièle Gibbons and Greg Gibbons. (English) Zbl 1466.15001
Cambridge Studies in Advanced Mathematics 182. Cambridge: Cambridge University Press (ISBN 978-1-107-19850-0/hbk; 978-1-108-18257-7/ebook). xxii, 430 p. (2020).
Reviewer: Roksana Słowik (Gliwice)
An efficient computational method for solving system of nonlinear generalized Abel integral equations arising in astrophysics. (English) Zbl 07565883
MSC:
82-XX
Solutions of the generalized Abel’s integral equations using Laguerre orthogonal approximation. (English) Zbl 1441.45004
An approximate approach for systems of singular Volterra integral equations based on Taylor expansion. (English) Zbl 1451.45001
Solution of integral equations by Dunkl and distributional Dunkl transform. (English) Zbl 1463.44004
Several results of fractional differential and integral equations in distribution. (English) Zbl 1409.46030
Reviewer: Denis Sidorov (Irkutsk)
Traveling-wave solutions of the Kolmogorov-Petrovskii-Piskunov equation. (English. Russian original) Zbl 1392.35066
Comput. Math. Math. Phys. 58, No. 2, 230-237 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 2, 244-252 (2018).
Generalized Abel type integral equations with localized fractional integrals and derivatives. (English) Zbl 1392.45008
Generalized Thomas-Fermi equations as the Lampariello class of Emden-Fowler equations. (English) Zbl 1400.34062
Singular integral equations of convolution type with cosecant kernels and periodic coefficients. (English) Zbl 1426.30026
Optimal by the order methods of solving integral equations in a special case. (English. Russian original) Zbl 1421.65031
Russ. Math. 61, No. 9, 1-9 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 9, 3-12 (2017).
Reviewer: Alexander N. Tynda (Penza)
Derivation of the system of generalized Riccati equations from the system of evolution equations. (English) Zbl 1386.30005
On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations. (English) Zbl 1391.34003
Reviewer: Xueyan Liu (Chattanooga)
The Radon transform over cones with vertices on the sphere and orthogonal axes. (English) Zbl 1371.44001
On numerical solving integral equations of the third kind with singularities in a kernel. (English. Russian original) Zbl 1373.65094
Russ. Math. 60, No. 12, 28-35 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 12, 36-45 (2016).
Reviewer: Neville Ford (Chester)
Spectral relationships of Volterra-Fredholm integral equations in some domains. (English) Zbl 1360.65303
On a polyconvolution with a weight function for Fourier cosine and Laplace transforms. (English) Zbl 1360.44007
Reviewer: Deshna Loonker (Jodhpur)
Homogeneous-like generalized cubic systems. (English) Zbl 1357.34064
Reviewer: Valery A. Gaiko (Minsk)
Generalized inverses and solution of equations with Toeplitz plus Hankel operators. (English) Zbl 1394.47034
Reviewer: Evgueni Doubtsov (St. Petersburg)
Periods of solutions of periodic differential equations. (English) Zbl 1389.34118
Reviewer: Maite Grau (Lleida)
Generalized Toeplitz plus Hankel operators: kernel structure and defect numbers. (English) Zbl 1394.47033
Reviewer: Evgueni Doubtsov (St. Petersburg)
Generalized quadrature for solving singular integral equations of Abel type in application to infrared tomography. (English) Zbl 1416.65552
Asymptotics of the scattered Debye potentials via a generalized convolution. (English) Zbl 1347.42012
Algebro-geometric solutions for the generalized nonlinear Schrödinger hierarchy. (English) Zbl 1326.37043
Reductions of PDEs to first order ODEs, symmetries and symbolic computation. (English) Zbl 1510.35018
On Fatou type convergence of convolution type double singular integral operators. (English) Zbl 1349.41030
High-order modified tau method for non-smooth solutions of Abel integral equations. (English) Zbl 1328.45006
Boundary-value problem with Saigo operators for mixed type equation of the third order with multiple characteristics. (English. Russian original) Zbl 1329.35220
Russ. Math. 59, No. 7, 44-51 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 7, 49-57 (2015).
An approach for developing Fourier convolutions and applications. (English) Zbl 1323.42011
Mityushev, Vladimir V. (ed.) et al., Current trends in analysis and its applications. Proceedings of the 9th ISAAC congress, Kraków, Poland, August 5–9, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-12576-3/pbk; 978-3-319-12577-0/ebook). Trends in Mathematics. Research Perspectives, 515-521 (2015).
Fuzzy collocation methods for second-order fuzzy Abel-Volterra integro-differential equations. (English) Zbl 1339.65246
A reproducing kernel Hilbert space constructive approximation for integral equations with Toeplitz and Hankel kernels. (English) Zbl 1330.45005
On the decay of the elements of inverse triangular Toeplitz matrices. (English) Zbl 1317.15027
Reviewer: Jorma K. Merikoski (Tampere)
A special variant of the subdomain method for integral equations of the third kind with singularities in the kernel. (English. Russian original) Zbl 1312.65222
Russ. Math. 58, No. 10, 15-21 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 10, 19-26 (2014).
Reviewer: Ilia V. Boikov (Penza)
Special version of the subdomain method for a class of integral equations of the third kind in the space of distributions. (English. Russian original) Zbl 1312.65221
Russ. Math. 58, No. 7, 42-47 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 7, 49-55 (2014).
Reviewer: Ilia V. Boikov (Penza)
Integral equations and boundary value problems for functions of two variables. (Russian. English summary) Zbl 1316.45003
Reviewer: Ilia V. Boikov (Penza)
On expansion of a solution of general nonautonomous polynomial differential equation. (English) Zbl 1307.34022
On a mean value theorem for non-invariant problems in the theory of analytic functions. (Russian) Zbl 1324.44003
Reviewer: Evgeny Sevost’yanov (Donetsk)
On the polyconvolution for Hartley, Fourier cosine and Fourier sine transforms. (English) Zbl 1290.44002
Reviewer: Alexandr L. Brodskij (Severodonetsk)
The numerical integration scheme for a fast Petrov-Galerkin method for solving the generalized airfoil equation. (English) Zbl 1358.65076
A convolution operator related to the generalized Mehler-Fock and Kontorovich-Lebedev transforms. (English) Zbl 1267.44002
Reviewer: Alexandr L. Brodskij (Severodonetsk)
A simple solution of some composition conjectures for Abel equations. (English) Zbl 1269.34035
Reviewer: Alexander Grin (Grodno)
The Hermite functions related to infinite series of generalized convolutions and applications. (English) Zbl 1273.45002
Invertibility of certain Fredholm operators. (English) Zbl 1272.47018
Dym, Harry (ed.) et al., A panorama of modern operator theory and related topics. The Israel Gohberg memorial volume. Basel: Birkhäuser (ISBN 978-3-0348-0220-8/hbk; 978-3-0348-0221-5/ebook). Operator Theory: Advances and Applications 218, 345-357 (2012).
Reviewer: Manuel González (Santander)
Applications of generalized convolutions associated with the Fourier and Hartley transforms. (English) Zbl 1238.44003
The solution of the full matrix analogue of the generalized Abel equation with constant coefficients. (Russian. English summary) Zbl 1449.47086
Homotopy perturbation method for solving system of generalized Abel’s integral equations. (English) Zbl 1238.65131
Generalized Abel functional equations and numerical representability of semiorders. (English) Zbl 1240.39047
Reviewer: Gyula Maksa (Debrecen)
Certain class of multidimensional convolution integral equations involving a generalized polynomial set. (English) Zbl 1232.45008
Reviewer: I. V. Boikov (Penza)
A new variant of the subdomain method for integral equations of the third kind with singularities in the kernel. (English. Russian original) Zbl 1232.45007
Russ. Math. 55, No. 5, 8-13 (2011); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2011, No. 5, 12-18 (2011).
Reviewer: Adrian Carabineanu (Bucureşti)
On the extension problem for solutions of homogeneous convolution equations. (English. Russian original) Zbl 1251.46018
Izv. Math. 75, No. 3, 507-537 (2011); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 2011, No. 3, 65-96 (2011).
Reviewer: Lourdes Rodríguez-Mesa (La Laguna)
Metaharmonic lattice point theory. (English) Zbl 1283.11144
Pure and Applied Mathematics (Boca Raton) 299. Boca Raton, FL: CRC Press (ISBN 978-1-4398-6184-4/hbk; 978-1-4398-6185-1/ebook). xxiv, 448 p. (2011).
Reviewer: Andreas Kleefeld (Cottbus)
Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices. (English) Zbl 1230.15002
Reviewer: Nicholas Karampetakis (Thessaloniki)
Hölder weight estimates of Riesz-Bessel singular integrals generated by a generalized shift operator. (English) Zbl 1216.47078
On the solution of distributional Abel integral equation by distributional Sumudu transform. (English) Zbl 1207.45005
New versions of spline methods for integral equations of the third kind with singularities in the kernel. (English. Russian original) Zbl 1211.65174
Differ. Equ. 46, No. 9, 1330-1338 (2010); translation from Differ. Uravn. 46, No. 9, 1320-1328 (2010).
Center conditions at infinity for Abel differential equations. (English) Zbl 1216.34025
Reviewer: Valery Romanovski (Maribor)
On the existence of a solution of a homogeneous system of generalized Wiener-Hopf equations. (English. Russian original) Zbl 1196.45005
Izv. Math. 74, No. 3, 595-606 (2010); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 74, No. 3, 157-168 (2010).
Reviewer: Alexander N. Tynda (Penza)
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