Approximate solutions of a certain second order integrodifferential equation

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

Abstrakty

EN

The main aim of this paper is to study the approximate solutions of a certain second order Volterra type integrodifferential equation with given initial values. A variant of a certain basic integral inequality with explicit estimate is used to establish the results.

Słowa kluczowe

EN

approximate solutions; second order; integrodifferential equation; Volterra type; integral inequality; explicit estimate; closeness of solutions

PL

równania całkowe Volterry; równanie różniczkowo-całkowe

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2010
• Tom: Nr 45
• Strony: 99--109
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Pachpatte B. G.

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

Bibliografia

• [1] Bellman R., Stability Theory of Diffrerential Equations, McGraw-Hill, New York, 1953.
• [2] Brunner H., Collocation methods for Volterra integral and related functional differential equations, Cambridge University Press, Cambridge, 2004.
• [3] Coddington E.A., Levinson N., Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955.
• [4] Hartman P., Ordinary Differential Equations, Wiley, New York, 1964.
• [5] Morchalo J., Construction of upper and lower functions by approximate integration of an integrodifferential equation of higher order, Fasc. Math., 9(1975), 97-108.
• [6] Pachpatte B.G., Inequalities for Differential and Integral Equations, Academic Press, New York, 1998.
• [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 a certain second order integrodifferential equation, RGMIA Research Report Collection, 10(3)(2007), 463-476.
• [9] Pachpatte B.G., On higher order Volterra-Fredholm integrodifferential equation, Fasc. Math., 37(2007), 35-48.
• [10] Pachpatte B.G., On iterated Volterra integrodifferential equation of higher order, Fasc. Math., 39(2008), 47-61.