Inequalities applicable to certain partial finite sum-difference equation

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

Abstrakty

EN

The aim of this paper is to establish explicit bounds on certain discrete inequalities in two independent variables involving iterated sums, which can be used to study the qualitative behavior of solutions of some classes of partial finite sum-difference equations. Applications are also given to illustrate the usefulness of one of our results.

Słowa kluczowe

PL

jawne ograniczenie zbioru; nierówności dyskretne; zmienne niezależne; sumy iterowane; postępowanie jakościowe

EN

explicit bounds; discrete inequalities; two independent variables; iterated sums; qualitive behavior; partial finite sum-difference equations

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 2
• Strony: 291--302
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Pachpatte, B.

• 57,Shri Niketen Coloney, near Abhinay Talkies, Aurangabad, 431001, Maharashtra, India,

Bibliografia

• [1] D. Bainov, P. Simeonov, Integral Inequalities and Applications, Kluwer Academic Publishers, Dordrecht, 1992.
• [2] Ya. V. Bykov, Kh. M. Salpagarov, On the theory of integro-differential equations, in: Investigations in Integro-Differential Equations, Khirghizia 2, Izd. Akad. Nauk Khirghizia SSR, 1962 (in Russian).
• [3] S. S. Dragomir, Some Gronwall type Inequalities and Applications, RGMIA Monographs, Victoria University of Technology, 2001.
• [4] A. N. Filatov, L. V. Sharova, Integral Inequalities and the Theory of Nonlinear Oscillations, Nauka, Moscow, 1976.
• [5] B. C. Pachpatte, Inegualities for Finite Difference Equations, Marcel Dekker Inc., New York, 2002.
• [6] B. G. Pachpatte, Growth estimates on certain discrete inequalities involving iterated sums, An. Sti. Univ. "Al. I. Cuza" Iaşi, in print.