Results 101 to 110 of about 5,516 (189)

Inverse Problems for a Parabolic Integrodifferential Equation in a Convolutional Weak Form

open access: yesAbstract and Applied Analysis, 2013
We deduce formulas for the Fréchet derivatives of cost functionals of several inverse problems for a parabolic integrodifferential equation in a weak formulation.
Kairi Kasemets, Jaan Janno
doaj   +1 more source

Parabolic Integrodifferential Equations with Singular Kernels

open access: yesJournal of Integral Equations and Applications, 1991
The parabolic integrodifferential Volterra equation \((\Delta\) is the Laplacian) \[ u_ t(t,x)=(\Delta+c)\int^ t_ 0k(t-s)u(s,x)ds+k_ 0u(t,x)+f(t,x), \] \(t\in[0,T]\), \(x\in\Omega\subset R^ n\), \(u(0,x)=u_ 0(x)\), is considered. The set \(\Omega\) is assumed to be bounded; \(c\) and \(k_ 0\) are real constants.
openaire   +4 more sources

Nonlocal Cauchy problem for quasilinear integrodifferential equations in Banach spaces

open access: yesElectronic Journal of Differential Equations, 2007
The aim of this paper is to prove the existence of mild solutions of the nonlocal Cauchy problem for a nonlinear integrodifferential equation. The results are established by using the method of semigroup and the Schaefer theorem.
Mariappan Chandrasekaran
doaj  

Existence of solutions for nonlinear mixed type integrodifferential equation of second order [PDF]

open access: yesSurveys in Mathematics and its Applications, 2010
In this paper, we investigate the existence of solutions for nonlinear mixed Volterra-Fredholm integrodifferential equation of second order with nonlocal conditions in Banach spaces.
Haribhau Laxman Tidke, M. B. Dhakne
doaj  

Study of Solution for a Parabolic Integrodifferential Equation with the Second Kind Integral Condition

open access: yesInternational Journal of Analysis and Applications, 2018
In this paper, we establish sufficient conditions for the existence, uniqueness and numerical solution for a parabolic integrodifferential equation with the second kind integral condition.
Dhelis Sofiane   +2 more
doaj   +2 more sources

Identification of a memory kernel in a nonlinear integrodifferential parabolic problem [PDF]

open access: yes, 2017
Gistelinck, Fien   +2 more
core   +1 more source

Banach Fixed-Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in n-Dimensional Spaces

open access: yesJournal of Mathematics
The Banach fixed-point theorem, along with a fuzzy number characterized by normality, convexity, upper semicontinuity, and a compactly supported interval to look into the possibility of a solution equation to the fuzzy nonlinear neutral ...
M. Nagarajan   +5 more
doaj   +1 more source

Integrodifferential equations with analytic semigroups

open access: yesInternational Journal of Stochastic Analysis, 2001
In this paper we study a class of integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness, regularity and continuation of solutions to these integrodifferential equations.
openaire   +2 more sources

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