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Lipschitz Regularity of Solutions for Mixed Integro-Differential Equations
regularity of generalized solutions viscosity solutions nonlinear elliptic equations
2011/9/13
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...
Homogenization of a class of integro-differential equations with L{é}vy operators
Homogenization of a class integro-differential equations L{é}vy operators
2011/2/22
We study the periodic homogenization of u"−c( x" ) Zz∈RN [u"(x+z)−u"(x)−1|z|<1h∇u"(x).
A remark on the definitions of viscosity solutions for the integro-differential equations with L{é}vy operators
remark definitions of viscosity solutions integro-differential equations
2011/1/21
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).
Homogenizations of integro-differential equations with L{é}vy operators with asymmetric and degenerate densities
Homogenizations of integro-differential equations L{é}vy operators asymmetric degenerate densities
2011/1/21
We consider periodic homogenization problems for the L´evy operators with asymmetric L´evy densities. The formal asymptotic expansion used for the -stable (symmetric) L´evy operator...
Comparison principles for integro-differential equations with L{é}vy operators - the case of spacial depending jumps -
Integro-differential equation L´ evy-Ito Operator Compari-son principle
2011/1/21
A comparison principle for the integro-differential equation with the L´evy operator corresponding to the spacial depending jump process is presented in this paper. The jump (x, z) at a point x...
Numerical solution of nth-order integro-differential equations with trigonometric wavelet
integro-differential equation collocation method
2010/9/26
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...
Dichotomy and periodic solutions of a kind of integro-differential equations
Periodic solution (h, k)-dichotomy integro-differential equations
2010/9/14
In the present paper, we investigate some important properties of (h, k)-dichotomy. rthermore, we study the higher dimensional periodic system
Hôlder continuity of solutions of second-order non-linear elliptic integro-differential equations
H¨older regularity integro-differential equations L´ evy operators general non-local operators
2010/11/29
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...
Accelerating solutions in integro-differential equations
integro-differential equation slowly decaying kernel accelerating fronts
2010/12/15
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...
Legendre multi-wavelets direct method for linear integro-differential equations
Integro-differential equation Legendre multi-wavelets
2010/9/13
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...
NONLOCAL CAUCHY PROBLEM FOR SOME FRACTIONAL ABSTRACT INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES
Fractional abstract integrodifferential equation contraction mapping Krasnoleskii theorem nonlocal conditions
2008/11/28
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...
Application of a Trapezoid Inequality to Neutral Fredholm Integro-Differential Equations in Banach Spaces
Nonlinear neutral Fredholm integro-differential equations in Banach spaces Perov's fixed point theorem Method of successive approximations Trapezoidal quadrature rule
2008/7/3
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...