Integrodifferential Equation
Rothe-Galerkin's method for a nonlinear integrodifferential equation
... Let us denote by (P), the problem generated by Equations (1.1)-(1.3). The problem (P) has relevant interest applications to the porous media equation and to integro- differential equation modeling memory ...
15
On a nonlinear functional second order integrodifferential equation in Banach Spaces
... abstract system for establishing the boundedness of solutions of the equation governing the transverse motion of an extensible beam. Our work in the present chapter is motivated by the interesting results obtained ...
11
On a Mixed Nonlinear One Point Boundary Value Problem for an Integrodifferential Equation
... This paper is devoted to the study of a mixed problem for a nonlinear parabolic integro-differential equation which mainly arise from a one dimensional quasistatic contact problem. We prove the existence and ...
8
Existence and Uniqueness of Mild Solutions for Fractional Integrodifferential Equations
... An integrodifferential equation is one which involves both integrals and derivatives of an unknown ...various integrodifferential equations in Banach spaces has been studied deeply due to their ...
6
Existence result for neutral fractional integrodifferential equations with nonlocal integral boundary conditions
... In this article, we study a neutral fractional integrodifferential equation supplemented with nonlocal flux type integral boundary conditions. The existence and uniqueness results are obtained by using ...
7
Existence of Quasilinear Neutral Impulsive Integrodifferential Equations in Banach Space
... Abstract. In this paper, we devoted to study the existence of mild solutions for quasilinear impulsive integrodifferential equation in Banach spaces. The results are established by using Hausdorff’s measure ...
16
On existence and uniqueness of fractional integrodifferential equations with an integral fractional boundary condition
... [15]. Integrodifferential equations arise in many engineering and scientific disciplines, often as approximation to partial differential equations, which repre- sent much of the continuum ...phenomena. ...
7
An abstract partial functional integrodifferential equations
... Volterra integrodifferential equation with ...the equation in the domain of A with the graph norm employing results from linear semigroup theory concern- ing abstract inhomogeneous linear ...
17
On the controllability of some partial functional integrodifferential equations with infinite delay in Banach spaces
... ear integrodifferential systems in Banach spaces using Schaefer’s fixed point Theorem with the compactness assumption on the ...some integrodifferential equation when γ (t) 6= 0, and without any ...
19
On nonlinear Volterra-Fredholm functional integrodifferential equations with nonlocal condition in Banach spaces
... using the Hausdorff’s measure of noncompactness. Many authors have investigated the existence, uniqueness and other properties of solutions of the nonlocal Cauchy problems for functional differential equations with ...
15
Some Study of a Cauchy Problem in Parabolic Integrodifferential Equations Class
... is a family of linear bounded operators defined on the space of all square integrable functions and is the n- dimensional Euclidean space.. We consider integrodifferential equation[r] ...
5
Asymptotics of integrodifferential models with integrable kernels II
... tegrodifferential equation has a wider initial layer width, of order O(ε 1/(2−β) ), ε → 0, and that the formal approximate solution is an asymptotic solution up to the order of magnitude of O(ε 1/(2 − β) ), ε → ...
17
Nonlocal nonlinear integrodifferential equations of fractional orders
... Recently, many authors have extended this work to various kinds of nonlinear evolu- tion equations [, , , , , ]. Balachandran and Uchiyama [] proved the existence of mild and strong solutions of a nonlinear ...
10
Nonlinear functional integrodifferential equations in Hilbert space
... integro-differential equation in X by using the fundamental ...integro-differential equation, elliptic differential opera- tors, fundamental solution, Gårding’s inequality, successive approximation, norm ...
8
Lyapunov stability solutions of fractional integrodifferential equations
... In recent papers [7, 8], we used Schauder’s fixed-point theorem to obtain local existence, and Tychonov’s fixed-point theorem to obtain global existence of solution of the fractional integ[r] ...
5
Boundary Controllability of Nonlinear Fractional Integrodifferential Systems
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 279493, 9 pages doi 10 1155/2010/279493 Research Article Boundary Controllability of Nonlinear Fractional Integr[.] ...
9
Convergence for Hyperbolic Singular Perturbation of Integrodifferential Equations
... Schappacher, “Propagation of singularities by solutions of second order integrodifferential equations,” in Volterra Integrodifferential Equations in Banach Spaces and Applications Trento, [r] ...
11
Fractional Evolution Integrodifferential Systems with Nonlocal Conditions in Banach Spaces
... evolution integrodifferential systems with nonlocal conditions in Banach spaces based on the theory of resolvent operators, the fractional powers of operators, fixed point technique and the Gelfand-Shilov ...
5
Study of Ulam Hyers stability of integrodifferential equations with nonlocal condition in Banach spaces
... an equation, differing slightly from a given one, must be close to a solution of the given equation? The notion of 'nonlocal' condition has been introduced to extend the study of the classical initial value ...
12
Fast methods for the solution of singular integro differential and differential equations
... Chebyshev expansion sets are developed for the numerical solution of linear integrodifferential equations of the first order.. These methods take a total solution.[r] ...
20