Results 41 to 50 of about 316,882 (148)

Generalization of the Regularization Method to Singularly Perturbed Integro-Differential Systems of Equations with Rapidly Oscillating Inhomogeneity

Axioms, 2021
In this paper, we consider systems of singularly perturbed integro-differential equations with a rapidly oscillating right-hand side, including an integral operator with a slowly varying kernel.
Abdukhafiz Bobodzhanov, Burkhan Kalimbetov, Valeriy Safonov   +2 more
doaj   +1 more source

Using Aichinger's equation to characterize polynomial functions [PDF]

arXiv, 2022
Aichinger's equation is used to give simple proofs of several well-known characterizations of polynomial functions as solutions of certain functional equations. Concretely, we use that Aichinger's equation characterizes polynomial functions to solve, for arbitrary commutative groups, Ghurye-Olkin's functional equation, Wilson's functional equation, the
arxiv  

Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body [PDF]

, 2005
A static mixed boundary value problem (BVP) of physically nonlinear elasticity for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary linear operator, a non-standard ...
Mikhailov, SE
core   +1 more source

Convergence and Error Estimation of a New Formulation of Homotopy Perturbation Method for Classes of Nonlinear Integral/Integro-Differential Equations

Mathematics, 2021
In this work, the main concept of the homotopy perturbation method (HPM) was outlined and convergence theorems of the HPM for solving some classes of nonlinear integral, integro-differential and differential equations were proved.
Mohamed M. Mousa, Fahad Alsharari
doaj   +1 more source

A magneto-viscoelasticity problem with a singular memory kernel

, 2016
The existence of solutions to a one-dimensional problem arising in magneto-viscoelasticity is here considered. Specifically, a non-linear system of integro-differential equations is analyzed, it is obtained coupling an integro-differential equation ...
Caffarelli, Giorgio Vergara, Carillo, Sandra, Chipot, Michel, Valente, Vanda   +3 more
core   +1 more source

Exact solutions for nonlinear integro-partial differential equations using the generalized Kudryashov method

Journal of the Egyptian Mathematical Society, 2017
In this research, we construct the traveling wave solutions for some nonlinear evolution equations in mathematical physics. New solutions such as soliton solutions are found. The method used is the generalized Kudryashov method (GKM). We apply the method
Khaled A. Gepreel, Taher A. Nofal, Ameara A. Alasmari   +2 more
doaj  

H\^older continuity of solutions of second-order non-linear elliptic integro-differential equations

, 2010
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 assume that, at each point of the domain, either the ...
Barles, Guy, Chasseigne, Emmanuel, Imbert, Cyril   +2 more
core   +3 more sources

A construction of analog of Fredgolm theorems for one class of first order model integro-differential equation with logarithmic singularity in the kernel

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
The integral representations of the solution manifold for one class of the first order model integro-differential equation with logarithmic singularity in the kernel are constructed using arbitrary constants. The cases when the given integro-differential
Sarvar K Zaripov
doaj   +1 more source

An ordinary integro-differential equation with a degenerate kernel and an integral condition

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
We consider the questions of one value solvability of the nonlocal boundary value problem for a nonlinear ordinary integro-differential equation with a degenerate kernel and a reflective argument.
Tursun K Yuldashev
doaj   +1 more source

Existence and Uniqueness of a Fractional Fokker-Planck Equation [PDF]

arXiv, 2020
Stochastic differential equations with Levy motion arise the mathematical models for various phenomenon in geophysical and biochemical sciences. The Fokker Planck equation for such a stochastic differential equations is a nonlocal partial differential equations. We prove the existence and uniqueness of the weak solution for this equation.
arxiv