scholarly journals Impulsive integral BVP for nonlinear integro-differential equation with monotone homomorphism in Banach spaces

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Kaihong Zhao ◽  
Kun Wang
Keyword(s):  
Differential Equation ◽  
Banach Spaces ◽  
Integro Differential Equation

scholarly journals An existence theorem for solutions of an integro-differential equation in Banach spaces

2012 ◽  
Vol 45 (4) ◽  
Author(s):  
Aldona Dutkiewicz
Keyword(s):  
Differential Equation ◽  
Existence Theorem ◽  
Banach Spaces ◽  
Initial Value Problem ◽  
Initial Value ◽  
Measures Of Noncompactness ◽  
Integro Differential Equation ◽  
Local Solutions

AbstractThe paper contains an existence theorem for local solutions of an initial value problem for a nonlinear integro-differential equation in Banach spaces. The assumptions and proofs are expressed in terms of measures of noncompactness.

scholarly journals On the Kneser-Hukuhara property for an integro-differential equation in Banach spaces

2011 ◽  
Vol 48 (1) ◽  
pp. 51-59
Author(s):  
Aldona Dutkiewicz
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Banach Spaces ◽  
Topological Properties ◽  
Measure Of Weak Noncompactness ◽  
Integro Differential Equation

Abstract In this paper we investigate some topological properties of solutions sets of some integro-differential equations in Banach spaces. Our assumptions and proofs are expressed in terms of the measure of weak noncompactness.

scholarly journals Fixed-Point Iterative Algorithm for the Linear Fredholm-Volterra Integro-Differential Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
M. I. Berenguer ◽  
D. Gámez ◽  
A. J. López Linares
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Iterative Algorithm ◽  
Point Theorem ◽  
Numerical Algorithm ◽  
Linear Case ◽  
Integro Differential Equation ◽  
Equivalent Version

With the aid of fixed-point theorem (an equivalent version for the linear case) and biorthogonal systems in adequate Banach spaces, the problem of approximating the solution of a linear Fredholm-Volterra integro-differential equation is turned into a numerical algorithm, so that it can be solved numerically.

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