Found 42 Documents (Results 1–42)
On approximation of approximately quadratic mappings by quadratic mappings. (English) Zbl 1087.39518
On limit periodicity of the solutions of some Volterra systems. (English. Russian original) Zbl 1070.39500
Autom. Remote Control 62, No. 5, 709-715 (2001); translation from Avtom. Telemekh. 2001, No. 5, 36-43 (2001).
MSC:
39A11
Reelle polynome in \(\frac az+\frac{uz}a (a,z,\in\mathbb C, u\in\mathbb R)\) als Lösungen von \(q\)-Operatorgleichungen zweiter Ordnung. (German) [Real polynomials in \(\frac az+\frac{uz}a\;(a,z\in\mathbb C,\;u\in\mathbb R)\) as solutions of \(q\)-operator equations of second order]. (English) Zbl 1097.33015
Reviewer: Borislav Crstici (Timişoara) (MR2005888)
Discrete models of the harmonic oscillator and a discrete analogue of Gauss’ hypergeometric equation. (English) Zbl 1003.33003
Reviewer: Hjalmar Rosengren (Göteborg)
Special function solutions of the discrete Painlevé equations. (English) Zbl 0994.33500
Reviewer: J.Saurer (Regensburg)
A study on the fourth \(q\)-Painlevé equation. (English) Zbl 1002.39030
Reviewer: Oleg Anashkin (Simferopol)
A discrete boundary value problem in Banach spaces. (English) Zbl 1011.39002
Reviewer: Alberto Cabada (Santiago de Compostela)
Regularization of one class of difference equations. (Russian, English) Zbl 0993.39001
Sib. Mat. Zh. 42, No. 5, 1012-1017 (2001); translation in Sib. Math. J. 42, No. 5, 846-850 (2001).
Reviewer: V.Grebenev (Novosibirsk)
Discrete equations on planar graphs. (English) Zbl 1001.37081
Reviewer: Messoud Efendiev (Berlin)
Criteria for one-sided invertibility of a functional operator in rearrangement-invariant spaces of fundamental type. (English) Zbl 0990.39024
Reviewer: Vladimir Mityushev (Paris)
The fourth order difference equation for the Laguerre-Hahn polynomials orthogonal on special non-uniform lattices. (English) Zbl 1012.33007
Reviewer: Ajendra Nath Srivastava (Puna)
Quasi-factorization of the entropy and logarithmic Sobolev inequalities for Gibbs random fields. (English) Zbl 1086.82002
On boundedness and stability of solutions of nonlinear difference equation with nonmartingale type noise. (English) Zbl 1016.39004
Generalized eigenvalue problem and a new family of rational functions biorthogonal on elliptic grids. (English) Zbl 1039.42022
Bustoz, Joaquin (ed.) et al., Special functions 2000: current perspective and future directions. Proceedings of the NATO Advanced Study Institute, Tempe, AZ, USA, May 29–June 9, 2000. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-7119-4/hbk). NATO Sci. Ser. II, Math. Phys. Chem. 30, 365-388 (2001).
Reviewer: Adhemar Bultheel (Leuven)
Factorization method for difference equations of hypergeometric type on nonuniform lattices. (English) Zbl 0994.39001
Reviewer: Quingkai Kong (DeKalb)
Oscillation of solutions for second-order nonlinear difference equations with nonlinear neutral term. (English) Zbl 0983.39003
Reviewer: Sui Sun Cheng (Hsinchu)
MSC:
39A11
Oscillation of unstable type first order difference equation with continuous variable. (Chinese. English summary) Zbl 1011.39009
MSC:
39A11
26D10
The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \({\mathcal D}_q\)-Laguerre-Hahn class. (English) Zbl 0996.33009
Reviewer: Roelof Koekoek (Delft)
Discrete orthogonal polynomials – polynomial modification of a classical functional. (English) Zbl 0991.33002
Reviewer: Renato Alvarez-Nodarse (Sevilla)
Asymptotic normality of the coefficients of polynomials associated with the Gegenbauer ones. (English) Zbl 0997.33001
Reviewer: Christian Krattenthaler (Wien)
Reflectionless analytic difference operators. II: Relations to soliton systems. (English) Zbl 1001.35115
Reviewer: Ma Wen-Xiu (Hongkong)
Intertwining relations between the Fourier transform and discrete Fourier transform, the related functional identities and beyond. (English) Zbl 0983.42003
On asymptotics of solutions of Poincaré difference systems. (English) Zbl 0986.39003
Reviewer: Vladimir Răsvan (Craiova)
MSC:
39A11
Permanence in Kolmogorov-type systems of delay difference equations. (English) Zbl 0987.39005
Reviewer: E.Thandapani (Salem)
MSC:
39A11
92D25
The discrete Painlevé I equations: transcendental integrability and asymptotic solutions. (English) Zbl 1057.39009
Some results on the boundedness of difference equations with unbounded delay. (Chinese. English summary) Zbl 0994.39005
Reviewer: Yang En-Hao (Guangzhou)
MSC:
39A11
A Gauss type functional equation. (English) Zbl 0982.39012
Reviewer: Henrik Stetkaer (Aarhus)
Hyers-Ulam stability of the quadratic equation of Pexider type. (English) Zbl 0980.39023
Reviewer: Szymon Wasowicz (Bielsko-Biala)
Reflectionless analytic difference operators \((\text{A}\Delta\text{Os})\): Examples, open questions and conjectures. (English) Zbl 0977.39011
Transmutation operators and Paley-Wiener theorem associated with a differential-difference operator on the real line. (Opérateurs de transmutation et théorème de Paley-Wiener associés à un opérateur aux dérivées et différences sur \(\mathbb{R}\).) (French) Zbl 1040.42005
Reviewer: S. V. Kislyakov (St. Petersburg)
Some new Poincaré-type inequalities. (English) Zbl 0986.26008
Reviewer: James Adedayo Oguntuase (Abeokuta)
Some discrete Poincaré-type inequalities. (English) Zbl 0984.39001
Reviewer: E.Thandapani (Salem)
Necessary and sufficient conditions for oscillations of hyperbolic and elliptic type partial difference equations. (English) Zbl 0992.39011
Reviewer: N.C.Apreutesei (Iasi)
MSC:
39A11
Raising and lowering operators, factorization and differential/difference operators of hypergeometric type. (English) Zbl 0968.33007
Reviewer: Michael Voit (Tübingen)
Multiple nonnegative solutions to singular and nonsingular discrete problems. (English) Zbl 0977.39007
Reviewer: Peng Mingshu (Beijing)
MSC:
39A11
A functional equation arising from ranked additive and separable utility. (English) Zbl 0967.39007
Reviewer: Bogdan Choczewski (Kraków)
Qualitative theory of dynamical systems. The role of stability preserving mappings. 2nd, revised and expanded ed. (English) Zbl 0976.34001
Pure and Applied Mathematics, Marcel Dekker. 239. New York NY: Marcel Dekker. xv, 707 p. (2001).
Reviewer: Anatoly Martynyuk (Kyïv)
MSC:
34-02
93-02
35-02
39-02
45-02
34C11
34D20
34D30
34D40
34G20
34K20
34A60
35B35
39A11
34H05
92B20
93D10
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