Results 261 to 270 of about 3,102,621 (294)

Homogenization for a Volterra Equation

SIAM Journal on Mathematical Analysis, 1986
Les AA. considèrent une équation de Volterra de la forme \[ b_ 0u- div_ x(c*\sigma)=b_ 0u_ 0-\beta *u+H \] où \(c=c(x,t)\) et \(b_ 0=b_ 0(x)\) sont des fonctions positives données, \(\sigma =\sigma (x,\nabla u(x,t))\), \(\beta =\beta (x,t)\) et \(H=H(x,t)\) sont données ainsi que \(u_ 0=u_ 0(x)\).
Hedy Attouch, Alain Damlamian
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Existence and controllability of nonlocal mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1 < r < 2

Numerical Methods for Partial Differential Equations, 2020
In our article, we are primarily concentrating on existence and controllability of nonlocal mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1 
W. Kavitha Williams, V. Vijayakumar, R. Udhayakumar, S. K. Panda, K. S. Nisar   +4 more
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A Volterra Equation with Parameter

SIAM Journal on Mathematical Analysis, 1973
We discuss the Volterra integral equation $x'(t) + \lambda \int_0^t {a(t - \tau )x(\tau )d\tau = k,\lambda \geq \lambda _0 > 0} $. We find conditions under which solutions are bounded on $\{ 0 \leq t < \infty \} $, uniformly in $\lambda $. We deduce results on the asymptotic behavior of certain Volterra equations in Hilbert space arising, for example ...
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Analytical and numerical methods for Volterra equations

SIAM studies in applied and numerical mathematics, 1985
Some applications of Volterraequations Linear Volterra equations of the second kind Nonlinear equations of the second kind Equations of the first kind Convolution equations The numerical solution of equations of the second kind Product Integration ...
P. Linz
semanticscholar   +1 more source

Volterra integral equations

Journal of Soviet Mathematics, 1979
One presents a survey of the investigations in the theory of Volterra integral equations, reviewed in Ref. Zh. “Mat.” between 1966–1976.
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On a diffusion volterra equation

Nonlinear Analysis: Theory, Methods & Applications, 1979
INTRODUCTION IN THIS paper we study the Volterra diffusion equation au/at = Au + au bu2 u(f*u)t (0.1 a) describing the evolution of some population governed by the intrinsic rate a bu and the memory rate f * u containing the effect of the past history on the actual population development.
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Malliavin Calculus and Optimal Control of Stochastic Volterra Equations

Journal of Optimization Theory and Applications, 2014
Solutions of stochastic Volterra (integral) equations are not Markov processes, and therefore, classical methods, such as dynamic programming, cannot be used to study optimal control problems for such equations.
N. Agram, B. Øksendal
semanticscholar   +1 more source

Lévy-driven Volterra Equations in Space and Time

, 2014
We investigate nonlinear stochastic Volterra equations in space and time that are driven by Lévy bases. Under a Lipschitz condition on the nonlinear term, we give existence and uniqueness criteria in weighted function spaces that depend on integrability ...
Carsten Chong
semanticscholar   +1 more source

A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis

International Journal of Computational Mathematics, 2019
The present work considers the approximation of solutions of a type of fractional-order Volterra–Fredholm integro-differential equations, where the fractional derivative is introduced in Caputo sense.
P. Das, Subrata Rana, H. Ramos
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Orthonormal Bernoulli polynomials collocation approach for solving stochastic Itô‐Volterra integral equations of Abel type

International journal of numerical modelling, 2019
In this paper, orthonormal Bernoulli collocation method has been developed to obtain the approximate solution of linear singular stochastic Itô‐Volterra integral equations.
Nasrin Samadyar, Farshid Mirzaee
semanticscholar   +1 more source