Results 251 to 260 of about 3,163,886 (311)

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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Linear Volterra Integral Equations

Acta Mathematicae Applicatae Sinica, English Series, 2002
The authors apply the Kurzweil-Henstock integral formalism to give existence theorems for linear Volterra equations \[ x(t)+^{\ast}\int_{[a,t]}\alpha(s)x(s)\,ds=f(t),\qquad t\in[ a,b],\tag{1} \] where the functions \(x,f\)\ have values in the Banach space \(X\).
Federson, M., Bianconi, R., Barbanti, L.
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A volterra-type integral equation

Ukrainian Mathematical Journal, 1989
See the review in Zbl 0653.45005.
Ashirov, S., Mamedov, Ya. D.
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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
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Eigenvalues and Nonlinear Volterra Equations

1995
This paper is devoted to present a solution to the eigenvalue problem for non-linear Volterra operators having the form $$ Tu(x) = \int_0^x {k(x - s)g(u(s))} ds $$ .
Arias M., Castillo J., SIMOES, Marilda
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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
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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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A Perturbation of an Abstract Volterra Equation

SIAM Journal on Mathematical Analysis, 1980
This paper discusses the existence of solutions to equations of the form $u(t,x) + \smallint _0^t a(t - s)[Au(s,x) + g(u(s,x))]ds = f(t,x)$ where A is a differential operator on $L^2 (\Omega ),\Omega $ a bounded open subset of $R^n $, and g is a discontinuous real-valued function which is not necessarily monotone increasing.
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Stability of Volterra Difference Equations

Differential Equations, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kolmanovskii, V. B., Kosareva, N. P.
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Structure of Solutions of Volterra Equations

SIAM Review, 1983
This paper presents an elementary introduction to linear Volterra integral and integro-differential equations. It is demonstrated that the theory of existence, uniqueness, dimensionality of the solution space, and the variation of parameters formula are virtually indistinguishable from the corresponding elementary theory of ordinary differential ...
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