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Bounds of Solutions of Integrodifferential Equations
"... Some new integral inequalities are given, and bounds of solutions of the following integrodifferential equation are determined: x t −F t, x t , t 0 k t, s, x t , x s ds h t , x 0 x 0 , where ..."
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Some new integral inequalities are given, and bounds of solutions of the following integrodifferential equation are determined: x t −F t, x t , t 0 k t, s, x t , x s ds h t , x 0 x 0 , where
APPROXIMATION OF SOLUTIONS TO EVOLUTION INTEGRODIFFERENTIAL EQUATIONS
, 1995
"... In this paper we study a class of evolution integrodifferential equations. We first prove the existence and uniqueness of solutions and then establish the convergence of Galerkin approximations to the solution. ..."
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In this paper we study a class of evolution integrodifferential equations. We first prove the existence and uniqueness of solutions and then establish the convergence of Galerkin approximations to the solution.
A Note on Stability of Integrodifferential Equations
"... Abstract: We investigate the exponential stability of a nonlinear integrodifferential equation in the form 0 t t dx t K t s f s x s ds dt 0 0 ()x t x =. ..."
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Abstract: We investigate the exponential stability of a nonlinear integrodifferential equation in the form 0 t t dx t K t s f s x s ds dt 0 0 ()x t x =.
ON NEUTRAL TYPE HYPERBOLIC INTEGRODIFFERENTIAL EQUATION
"... Abstract. In this paper we study the existence, uniqueness and other properties of solutions of a certain neutral type hyperbolic integrodifferential equation in two independent variables. The Banach fixed point theorem and a certain integral inequality with explicit estimate are used to establish t ..."
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Abstract. In this paper we study the existence, uniqueness and other properties of solutions of a certain neutral type hyperbolic integrodifferential equation in two independent variables. The Banach fixed point theorem and a certain integral inequality with explicit estimate are used to establish
AN ABSTRACT ULTRAPARABOLIC INTEGRODIFFERENTIAL EQUATION
"... We prove an existence and uniqueness result for a ultraparabolic integrodifferential equation in the strip [0, T1] × [0, T2] in the context of thespaces of continuous functions with values in a Banach space X and we givesome applications to speci�c partial integrodifferential problems. ..."
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We prove an existence and uniqueness result for a ultraparabolic integrodifferential equation in the strip [0, T1] × [0, T2] in the context of thespaces of continuous functions with values in a Banach space X and we givesome applications to speci�c partial integrodifferential problems.
INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACE
"... l.Introduction. Controllability of linear and nonlinear systemes represented by ordinary differential equations in finitedimension space has been extensively studied. Several authors have extended the concept to infinitedimension systems represented by evolution equations with bounded operators i ..."
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l.Introduction. Controllability of linear and nonlinear systemes represented by ordinary differential equations in finitedimension space has been extensively studied. Several authors have extended the concept to infinitedimension systems represented by evolution equations with bounded operators
EXISTENCE OF SOLUTIONS OF NONLINEAR INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
"... Abstract. In this paper we prove the existence of mild and strong solutions of semilinear integrodifferential equations in Banach spaces with nonlocal initial conditions. We prove the existence theorems by using Schaefer’s fixed point theorem. 1. ..."
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Abstract. In this paper we prove the existence of mild and strong solutions of semilinear integrodifferential equations in Banach spaces with nonlocal initial conditions. We prove the existence theorems by using Schaefer’s fixed point theorem. 1.
REGULARITY OF SOLUTIONS OF ABSTRACT QUASILINEAR DELAY INTEGRODIFFERENTIAL EQUATIONS
"... Abstract. We prove the existence and uniqueness of classical solutions for a quasilinear delay integrodifferential equation in Banach spaces. The result is established by using the semigroup theory and the Banach xed point theorem. 1. ..."
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Abstract. We prove the existence and uniqueness of classical solutions for a quasilinear delay integrodifferential equation in Banach spaces. The result is established by using the semigroup theory and the Banach xed point theorem. 1.
On Existence of Solutions to Some Fractional Nonlinear Integrodifferential Equations
"... Abstract In this paper, the existence and uniqueness problems of the solution of a generalized Cauchy type fractional nonlocal integrodifferential equation are investigated. The results are obtained using Banach and Krasnoselkii fixed point theorems. ..."
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Abstract In this paper, the existence and uniqueness problems of the solution of a generalized Cauchy type fractional nonlocal integrodifferential equation are investigated. The results are obtained using Banach and Krasnoselkii fixed point theorems.
Numerical solutions of the nonlinear integrodifferential equations
 Int. J. Open Problems Compt. Math
, 2008
"... This paper compares the variational iteration method (VIM) with the Adomian decomposition method (ADM) for solving nonlinear integro differential equations. From the computational viewpoint, the VIM is more efficient, convenient and easy to use. ..."
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This paper compares the variational iteration method (VIM) with the Adomian decomposition method (ADM) for solving nonlinear integro differential equations. From the computational viewpoint, the VIM is more efficient, convenient and easy to use.
Results 1  10
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1,418