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Abstract: We establish new Hoelder and Lipschitz estimates for viscosity solutions of a large class of elliptic and parabolic nonlinear integro-differential equations, by the classical Ishii-Lions's m...
We study the periodic homogenization of u"−c( x" ) Zz∈RN [u"(x+z)−u"(x)−1|z|<1h∇u"(x).
In this note, we shall consider the following problem F(x, u,∇u,∇2u)−ZRN [u(x+z)−u(x)−1|z|<1h∇u(x).
We consider periodic homogenization problems for the L&acute;evy operators with asymmetric L&acute;evy densities. The formal asymptotic expansion used for the -stable (symmetric) L&acute;evy operator...
A comparison principle for the integro-differential equation with the L&acute;evy operator corresponding to the spacial depending jump process is presented in this paper. The jump (x, z) at a point x...
Integro-differential equations are appeared in many engineering and physic fields. We select fredholm integro-differential equation and basis gained from trigonometric wavelet scaling function. In thi...
In the present paper, we investigate some important properties of (h, k)-dichotomy. rthermore, we study the higher dimensional periodic system
This paper is concerned with H¨older regularity of viscosity solutions of second-order, fully non-linear elliptic integro-differential equations. Our results rely on two key ingredients: first we ass...
In this paper, we study the spreading properties of the solutions of an integro-differential equation of the form ut = J ∗u−u+f(u). We focus on equations with slowly decaying dispersal k...
We use the continuous Legendre multi-wavelets on the interval [0, 1) to solve the linear integro-differential equation. To do so, we reduced the problem into a system of algebraic equations. Illustrat...
In this paper we study the existence and uniqueness of solutions for fractional integrodifferential equations with nonlocal condition in a Banach space. The results are established by the applicatio...
A new approach for neutral Fredholm integro-differential equations in Banach spaces, using the Perov's fixed point theorem of existence, uniqueness and approximation is presented. The approximation of...

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