Found 58 Documents (Results 1–58)
On the structure of Jackson integrals of \(BC_n\) type and holonomic \(q\)-difference equations. (English) Zbl 1155.33010
Reviewer: Jacques Sauloy (Toulouse)
Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks. (English) Zbl 1135.39008
Some exponential-type functional equations solved by a geometrical general method. (English) Zbl 1150.39326
Particular solution of Vekua differential equation by using Mitrinović method. (English) Zbl 1150.30377
Reviewer: Mihai Pascu (Bucureşti)
Application of Schwarz function on an inverse boundary value problem. (English) Zbl 1120.30312
Reviewer: Dagmar Medková (Praha)
Dynamical systems and functional equations related to boundary value problems for hyperbolic differential operators. (English. Russian original) Zbl 1138.35051
Dokl. Math. 72, No. 3, 949-953 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 405, No. 5, 598-603 (2005).
Reviewer: Christian Pötzsche (München)
Orthogonal polynomials and Banach algebras. (English) Zbl 1119.33011
zu Castell, Wolfgang (ed.) et al., Inzell lectures on orthogonal polynomials. Lectures from the 2nd summer school, Inzell, Germany, September 17–21, 2001. Hauppauge, NY: Nova Science Publishers (ISBN 1-59454-108-6/hbk). Advances in the Theory of Special Functions and Orthogonal Polynomials, 103-139 (2005).
Reviewer: Stamatis Koumandos (Nicosia)
Stability results for some functional equations of quadratic-type. (English) Zbl 1113.39029
Reviewer: Zsolt Pales (Debrecen)
On the dynamics of the recursive sequence \(x_{n+1}=\frac {\alpha x_n+\beta x_{n-2}} {1+x_n}\). (English) Zbl 1121.39001
Reviewer: Edwin Engin Yaz (Milwaukee)
MSC:
39A11
39A20
Extremal properties of solutions of the Tricomi difference problem for a grid system of equations of mixed type and their applications. (English, Russian) Zbl 1118.35015
Russ. Math. 49, No. 4, 53-66 (2005); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2005, No. 4, 56-69 (2005).
On the oscillation of solutions of third order linear difference equations of neutral type. (English) Zbl 1110.39002
MSC:
39A11
On a construction of weak solutions to non-stationary Stokes type equations by minimizing variational functionals and their regularity. (English) Zbl 1121.35100
Reviewer: Milan Kučera (Praha)
On solvability of the inverse scattering problem for a second order difference equation with asymptotic-periodic coefficients given on semi-axis. (English) Zbl 1106.39020
Generalized Jensen’s equation in a Banach module. (English) Zbl 1106.39028
Reviewer: Mohammad Sal Moslehian (Mashhad)
Orthogonal polynomial solutions of difference equations of fourth order. (Orthogonale Polynomlösungen von Differenzengleichungen vierter Ordnung.) (German) Zbl 1114.33010
Representation of the Stieltjes integral in terms of the Riemann integral depending on a parameter. (English. Russian original) Zbl 1124.26008
Math. Notes 78, No. 6, 853-866 (2005); translation from Mat. Zametki 78, No. 6, 919-933 (2005).
Differential and difference equations for products of classical orthogonal polynomials. (English) Zbl 1169.33302
Ganzha, Victor G. (ed.) et al., Computer algebra in scientific computing. 8th international workshop, CASC 2005, Kalamata, Greece, September 12–16, 2005. Proceedings. Berlin: Springer (ISBN 3-540-28966-6/pbk). Lecture Notes in Computer Science 3718, 399-404 (2005).
Characteristic algebras of fully discrete hyperbolic type equations. (English) Zbl 1099.37058
Reviewer: Messoud A. Efendiev (Berlin)
Exponential stability of dynamic equations on time scales. (English) Zbl 1100.39013
Reviewer: Dingyong Bai (Guangzhou)
MSC:
39A11
39A12
Compulsory asymptotic behavior of solutions of two-dimensional systems of difference equations. (English) Zbl 1094.39007
Allen, Linda J. S. (ed.) et al., Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-520-5/hbk). 35-49 (2005).
MSC:
39A11
The Hutchinson-Barnsley theory for infinite iterated function systems. (English) Zbl 1098.39015
Reviewer: Igor Gumowski (Thoiry)
Solution of the Hyers-Ulam stability problem for quadratic type functional equations in several variables. (English) Zbl 1094.39026
Reviewer: Mohammad Sal Moslehian (Leeds)
On the Ulam stability for Euler-Lagrange type quadratic functional equations. (English) Zbl 1094.39027
Reviewer: Mohammad Sal Moslehian (Leeds)
On the solution of discrete Vekua equations. (English) Zbl 1096.30039
Reviewer: Vladislav V. Kravchenko (México)
Averaging functions and inequalities due to Hölder-Rogers and Minkowski. (English) Zbl 1088.39024
Reviewer: Tomasz Zgraja (Bielsko-Biała)
On the stability of functional equations in \(n\)-variables and its applications. (English) Zbl 1087.39030
Reviewer: Szymon Wąsowicz (Bielsko-Biała)
On the stability of a Jensen-type functional equation on groups. (English) Zbl 1093.39025
Reviewer: János Aczél (Waterloo/Ontario)
Half-linear dynamic equations with mixed derivatives. (English) Zbl 1092.39004
Reviewer: Gennadij Demidenko (Novosibirsk)
MSC:
39A11
39A12
Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators. (English) Zbl 1085.39016
Reviewer: Bilender P. Allahverdiev (Isparta)
Asymptotic behavior of Jensen and Jensen type functional equations. (English) Zbl 1082.39026
Reviewer: Mohammad Sal Moslehian (Leeds)
Asymptotic behavior of discrete solutions to impulsive logistic equations. (English) Zbl 1084.39002
Reviewer: Edwin Engin Yaz (Milwaukee)
Contractively and global stability for discrete models of Lotka-Volterra type. (English) Zbl 1084.39011
Reviewer: Mingshu Peng (St. John’s)
Delay difference equations in Banach spaces. (English) Zbl 1081.39003
Reviewer: Nguyen Van Minh (Carrollton)
MSC:
39A11
39A10
Some discrete nonlinear inequalities and applications to boundary value problems. (English) Zbl 1083.26501
Elaydi, Saber (ed.) et al., Proceedings of the 8th international conference on difference equations and applications (ICDEA 2003), Masaryk University, Brno, Czech Republic, July 28–August 1, 2003. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-536-X/hbk). 83-90 (2005).
Reviewer: B. G. Pachpatte (Aurangabad)
Determination of initial data generating solutions of Bernoulli’s type difference equations with prescribed asymptotic behavior. (English) Zbl 1117.39301
Elaydi, Saber (ed.) et al., Proceedings of the 8th international conference on difference equations and applications (ICDEA 2003), Masaryk University, Brno, Czech Republic, July 28–August 1, 2003. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-536-X/hbk). 39-49 (2005).
MSC:
39A11
39A10
Iterated multifunction systems. (English) Zbl 1094.28005
Elaydi, Saber (ed.) et al., Proceedings of the 8th international conference on difference equations and applications (ICDEA 2003), Masaryk University, Brno, Czech Republic, July 28–August 1, 2003. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-536-X/hbk). 15-21 (2005).
Positive periodic solutions of discrete \(n\)-species food-chain systems. (English) Zbl 1087.39012
Reviewer: Igor Gumowski (Thoiry)
MSC:
39A11
92D25
On Hyers-Ulam stability of a special case of O’Connor’s and Gajda’s functional equations. (English) Zbl 1084.39022
Reviewer: Szymon Wąsowicz (Bielsko-Biała)
Generalized quadratic mappings of \(r\)-type in several variables. (English) Zbl 1077.39025
Reviewer: Mohammad Sal Moslehian (Mashhad)
Multilinear Jensen type mappings in Banach modules over a \(C^*\)-algebra. (English) Zbl 1077.39027
Reviewer: Mohammad Sal Moslehian (Mashhad)
On the generalized \(A\)-quadratic mappings associated with the variance of a discrete-type distribution. (English) Zbl 1081.39027
Reviewer: Soon-Mo Jung (Chochiwon)
The stability of a cubic type functional equation with the fixed point alternative. (English) Zbl 1077.39026
Reviewer: Mohammad Sal Moslehian (Mashhad)
Analytic methods for obstruction to integrability in discrete dynamical systems. (English) Zbl 1101.37042
Reviewer: Juan J. Morales-Ruiz (Barcelona)
Stability of the entropy equation. (English) Zbl 1069.39031
Reviewer: Jacek Chmielinski (Kraków)
Oscillation for higher order superlinear delay difference equations with unstable type. (English) Zbl 1078.39011
Reviewer: Marat Akhmet (Ankara)
MSC:
39A11
39A10
On exponential dichotomy, Bohl–Perron type theorems and stability of difference equations. (English) Zbl 1068.39004
Reviewer: Marat Akhmet (Ankara)
Approximating fixed points of strongly pseudocontractive mappings by a new iteration method. (English) Zbl 1068.47084
Reviewer: S. P. Singh (London, Ontario)
Convexity results for the largest zero and functions involving the largest zero of \(q\)-associated polynomials. (English) Zbl 1067.33011
Reviewer: Chrysoula G. Kokologiannaki (Patras)
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