Existence of Coupled Quasi-solutions of Nonlinear Integro-Differential Equations of Volterra Type in Banach Spaces
Journal of Advances in Mathematics and Computer Science · pp. 471–478 · Published 14 Nov 2014
10.9734/BJMCS/2015/13726Abstract
We study an initial value problem for a class of integro-differential equations of Volterra type in a real Banach space. Using method of upper and lower solutions and M¨onch and Von Harten theorem, we obtain an existence theorem of coupled quasi-solutions, which is an extension of those established by Y. Chen and W. Zhuang in [1].
References (10)
- 1 Ordinary Differential Equations in Banach Spaces [DOI]
- 2 Nonlinear differential equations in abstract spaces
- 3 LIMIT-COMPACT AND CONDENSING OPERATORS [DOI]
- 4 On the Cauchy problem for ordinary differential equations in Banach spaces [DOI]
- 5 On a fixed point principle of Sadovskii [DOI]
- 6 Global solutions of nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces [DOI]
- 7 Positive Solutions for Nonlinear Integro-Differential Equations of Mixed Type in Banach Spaces [DOI]
- 8 Existence and uniqueness of solutions of nonlinear integro-differential equations of volterra type in a banach space [DOI]
- 9 The existence of maximal and minimal solution of the nonlinear integrodifferential equation in banach space [DOI]
- 10 Existence theorems of global solutions for nonlinear integral equations of Volterra type in Banach spaces
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