Existence and uniqueness of mild and strong solutions of nonlinear Volterra integrodifferential equations in Banach spaces

• Autorzy: Tidke H. L. , Dhakne M. B.
• Języki publikacji: EN

Abstrakty

EN

In this paper we prove the existence and uniqueness of mild and strong solutions of a nonlinear Volterra integrodifferential equation with nonlocal condition. Our analysis is based on semigroup theory and Banach fixed point theorem and inequalities are established by Gronwall and B. G. Pachpatte.

Słowa kluczowe

EN

Volterra integrodifferential; strong solutions; continuous dependence; Pachpatte's inequality; nonlocal condition

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 3
• Strony: 643--652
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Tidke H. L.

autor

Dhakne M. B.

• Department of Mathematics School of Mathematical Sciences North Maharashtra University, Jalgaon, India,

Bibliografia

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