Results 21 to 30 of about 755 (165)

Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
We consider the questions of generalized solvability of inverse problem for nonlinear partial differential equations with high order pseudoparabolic operator by method of separation of variables.
T. K. Yuldashev
doaj   +3 more sources

New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications

open access: yesAbstract and Applied Analysis, 2014
Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations.
Kelong Cheng, Chunxiang Guo
doaj   +1 more source

Degenerate method in mixed nonlinear three dimensions integral equation

open access: yesAlexandria Engineering Journal, 2019
In this paper, a mixed nonlinear integral equation (MNIE) of The second kind of position and time is introduced. The existence Of at least one solution of this equation is discussed.
M. Basseem
doaj   +1 more source

Solvability of an Integral Equation of Volterra-Wiener-Hopf Type

open access: yesAbstract and Applied Analysis, 2014
The paper presents results concerning the solvability of a nonlinear integral equation of Volterra-Stieltjes type. We show that under some assumptions that equation has a continuous and bounded solution defined on the interval 0,∞ and having a finite ...
Nurgali K. Ashirbayev   +2 more
doaj   +1 more source

Solutions of a quadratic Volterra–Stieltjes integral equation in the class of functions converging at infinity

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
doaj   +1 more source

Applications of Normal S-Iterative Method to a Nonlinear Integral Equation

open access: yesThe Scientific World Journal, 2014
It has been shown that a normal S-iterative method converges to the solution of a mixed type Volterra-Fredholm functional nonlinear integral equation. Furthermore, a data dependence result for the solution of this integral equation has been proven.
Faik Gürsoy
doaj   +1 more source

An inverse problem for a nonlinear Fredholm integro-differential equation of fourth order with degenerate kernel

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
doaj   +1 more source

Bounded, asymptotically stable, and L^{1} solutions of Caputo fractional differential equations [PDF]

open access: yesOpuscula Mathematica, 2015
The existence of bounded solutions, asymptotically stable solutions, and \(L^1\) solutions of a Caputo fractional differential equation has been studied in this paper.
Muhammad N. Islam
doaj   +1 more source

A Singular Nonlinear Volterra Integral Equation

open access: yesJournal of Integral Equations and Applications, 1993
Many problems in Applied Mathematics lead to the study of the nonlinear partial differential equation \(u_ t = (a(u))_{xx} + (b(u))_ x + c(u)\). The interest in the existence of travelling-wave solutions of the form \(U(x,t) = U(\psi)\), \(\psi = x - \lambda t\), originates an ordinary differential equation from which arise integral equations of the ...
openaire   +4 more sources

On Solution of Nonlinear Abel–Volterra Integral Equation

open access: yesJournal of Mathematical Analysis and Applications, 1999
The authors consider the integral equation \[ \varphi^m (x)= \frac{a(x)}{\Gamma (\alpha)}\int_0^x \frac{\varphi (t)}{(x-t)^{1-\alpha}} dt +f (x),\quad ...
Kilbas, Anatoly A., Saigo, Megumi
openaire   +1 more source

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