New integral and finite difference inequalities in three variables

• Autorzy: Pachpatte B.
• Języki publikacji: EN

Abstrakty

EN

The objective of the present paper is to derive new estimates on some fundamental integral and finite difference inequalities in three variables which can be used as tools in the study of certain integral and sum-difference equations. Some applications are also given to convey the importance of one of our result.

Słowa kluczowe

EN

integrals; inequalities; integral equation

PL

całki; nierówności; równanie całkowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 2
• Strony: 339--349
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Pachpatte B.

• 57 Shri Niketan Colony Near Abhinay Talkies, Aurangabad 431 001 (Maharashtra), India,

Bibliografia

• [1] P. R. Beesack, Systems of multidimensional Volterra integral equations and inequalities, Nonlinear Anal. 9 (1985), 1451-1486.
• [2] Z. Kamont, M. Kwapisz, On non-linear Volterra integral-functional equations in several variables, Ann. Polon. Math. 40 (1981), 1-29.
• [3] M. Kwapisz, J.Turo, Some integral-functional equations, Funkcial. Ekvac. 18 (1975), 107-162.
• [4] M. Kwapisz, On the existence and uniqueness of integrable solutions for integral equations in several variables, Libertas Math. 9 (1989), 37-40.
• [5] D. L. Lovelady, A fixed point theorem, a perturbed differential equation, and a multi-variable Volterra integral equation, Trans. Amer. Math. Soc. 182 (1973), 71-83.
• [6] B. G. Pachpatte, Inequalities for Differential and Integral Equations, Academic Press, New York, 1998.
• [7] B. G. Pachpatte, Inequalities for Finite Difference Equations, Marcel Dekker, Inc., New York, 2002.
• [8] B. G. Pachpatte, Integral and Finite Difference Inequalities and Applications, North-Holland Mathematics Studies, Vol. 205, Elsevier Science B.V., Amsterdam, 2006.
• [9] B. G. Pachpatte, On Volterra-Fredholm integral equation in two variables, Demonstratio Math. 40 (2007), 839-852.
• [10] W. Walter, Differential and Integral Inequalities, Springer-Verlag, Berlin, New York, 1970.