On some basic finite difference inequalities

• Autorzy: Pachpatte B. G.
• Języki publikacji: EN

Abstrakty

EN

In this paper we establish some basic finite difference inequalities which can be used as tools in the study of qualitative properties of the solutions of finite difference equations and numerical analysis.

Słowa kluczowe

EN

finite difference inequalities; qualitative properties; finite difference equations; numerical analysis; explicit bound; perturbation; fundamental solution matrix

PL

nierówność różnicowa; równanie różnicowe; analiza numeryczna; macierz rozwiązań podstawowych

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2004
• Tom: Nr 34
• Strony: 65--71
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Pachpatte B. G.

• Department of Mathematics, Marathwada University, 57 Shri Niketan Colony, Aurangabad 431 004, (Maharashtra), India

Bibliografia

• [1] D. Bainov, P. Simeonov, Integral Inequalities and Applications, Kluwer Academic Publishers, Dordrecht, 1992.
• [2] P.R. Beesak, Gronwall Inequalities, Carleton Mathematical Lecture Notes, No. 11, 1975.
• [3] C.V. Coffman, Asymptotic behavior of solutions of ordinary difference equations, Trans. Amer. Math. Soc., 110(1964), 22-51.
• [4] F. Ma, Stablity theory of Stochastic difference systems, in "Probabilistic Analysis and related topics" A.T. Bharucha-Reid Ed., vol. 3, 127-160, Academic Press, New York, 1983.
• [5] B.G. Pachpatte, On the discrete generalizations of Gronwall's inequality, J. Indian Math. Soc., 37(1973), 147-156.
• [6] B.G. Pachpatte, Some new finite difference inequalities, Computers Math. Applic., 28(1994), 227-241.
• [7] B.G. Pachpatte, On some new inequalities related to a certain inequality arising in the theory of differential equations, J. Math. Anal. Appl. 251(2000), 736-751.
• [8] G. Papaschinopoulos, On the summable manifold for discrete systems, Math. Japonica 33(1998), 451-468.