On some fundamental aspects of certain sum-difference equations

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

Słowa kluczowe

EN

Volterra type; sum-difference equations; finite difference inequalities; explicit estimates; numerical analysis; boundedness; uniqueness; continuous dependence

PL

typ Volterre; suma różnicy równań; nierówności skończone; jasne szacunki; analiza numeryczna; ograniczoność; wyjątkowość; zależność ciągła

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2009
• Tom: Nr 41
• Strony: 119--134
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Pachpatte B. G.

• 57 Shri Niketan Colony, Near Abhinay Talkies Aurangabad 431001 (Maharashtra), India

Bibliografia

• [1] Agarwal R.P., Difference Equations and Inequalities, Marcel Dekker Inc., New York, 1992.
• [2] Agarwal R.P., Wong P.J.Y., Advanced Topics in Difference Equations, Kluwer Academic Publishers, Dordrecht, 1997.
• [3] Kwapisz M., Some existence and uniqueness results for boundary value problems for difference equations, Applicable Analysis, 37(1990),169-182.
• [4] Lakshmikantham V., Trigiante D., Theory of Difference Equations: Numerical Methods and Applications, Academic Press, New York, 1998.
• [5] Mickens R.E., Difference Equations, Van Nostrand, New York, 1997.
• [6] Pachpatte B.G., Inequalities for Finite Difference Equations, Marcel Dekker, Inc., New York, 2002.
• [7] Pachpatte B.G., Integral and Finite Difference Inequalities and Applications, North-Holland Mathematics studies, Vol. 205, Elsevier Science B.V., Amsterdam, 2006.
• [8] Pachpatte B.G., On Volterra-Fredholm integral equation in two variables, Demonstratio Mathematica, XL(4) (2007), 839-850.
• [9] Popenda J., On the boundedness of the solutions of difference equations, Fasciculi Mathematici, 14(1985), 101-108.
• [10] Popenda J., Werbowski J., On the asymptotic behavior of the solutions of difference equations of second order, Comment Math., 22(1980), 135-142.