Add to ORKGWe prove existence theorems for the integrodifferential equation x′(t) = f (t,x(t), ∫ t 0 k(t,s,x(s))ds), x(0) = x0, t ∈ Ia = [0,a], a> 0, where f, k, x are functions with val-ues in a Banach space E and the integral is taken in the sense of HL. Additionally, the functions f and k satisfy certain boundary conditions expressed in terms of the measure of noncompactness. Copyright © 2007 Aneta Sikorska-Nowak. This is an open access article distributed un-der the Creative Commons Attribution License, which permits unrestricted use, distri-bution, and reproduction in any medium, provided the original work is properly cited. 1
Using Hausdorff measure of noncompactness and a fixed-point argument we prove the existence of mild ...
summary:It is shown that a Banach-valued Henstock-Kurzweil integrable function on an $m$-dimensional...
Abstract. In this paper we study the existence, uniqueness and other properties of solutions of cert...
We prove existence theorems for the integrodifferential equation x'(t)=f(t,x(t),∫0tk(t,s, x(s))ds), ...
We prove two existence theorems for the integrodifferential equation of mixed type: x′(t) = f (t,x(...
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We prove an existence theorems for the nonlinear integral equation \[ x(t) = f (t) + \int_{0}^a k_1 ...
We prove existence theorems for integro-differential equations Δ∫()=(,(),0(,,())Δ), (0)=0, ∈=[0,]∩, ...
summary:A fixed point theorem in ordered spaces and a recently proved monotone convergence theorem a...
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Abstract. We apply the Kurzweil-Henstock integral setting to prove a Fredholm Alternative-type resul...
In this paper we study the existence, uniqueness and other properties\ud of solutions of a certain s...
We study the existence and uniqueness of the solutions of mixed Volterra-Fredholm type integral equa...
In this paper we study the existence, uniqueness and other properties of solutions of a certain sec...
Using Hausdorff measure of noncompactness and a fixed-point argument we prove the existence of mild ...
summary:It is shown that a Banach-valued Henstock-Kurzweil integrable function on an $m$-dimensional...
Abstract. In this paper we study the existence, uniqueness and other properties of solutions of cert...
We prove existence theorems for the integrodifferential equation x'(t)=f(t,x(t),∫0tk(t,s, x(s))ds), ...
We prove two existence theorems for the integrodifferential equation of mixed type: x′(t) = f (t,x(...
We prove two existence theorems for the integrodifferential equation of mixed type: x′(t) = f (t,x(...
We prove two existence theorems for the integrodifferential equation of mixed type: x′(t) = f (t,x(...
We prove an existence theorems for the nonlinear integral equation \[ x(t) = f (t) + \int_{0}^a k_1 ...
We prove existence theorems for integro-differential equations Δ∫()=(,(),0(,,())Δ), (0)=0, ∈=[0,]∩, ...
summary:A fixed point theorem in ordered spaces and a recently proved monotone convergence theorem a...
summary:A fixed point theorem in ordered spaces and a recently proved monotone convergence theorem a...
Abstract. We apply the Kurzweil-Henstock integral setting to prove a Fredholm Alternative-type resul...
In this paper we study the existence, uniqueness and other properties\ud of solutions of a certain s...
We study the existence and uniqueness of the solutions of mixed Volterra-Fredholm type integral equa...
In this paper we study the existence, uniqueness and other properties of solutions of a certain sec...
Using Hausdorff measure of noncompactness and a fixed-point argument we prove the existence of mild ...
summary:It is shown that a Banach-valued Henstock-Kurzweil integrable function on an $m$-dimensional...
Abstract. In this paper we study the existence, uniqueness and other properties of solutions of cert...