Results 21 to 30 of about 25,523 (249)

Inverse problem for a nonlinear partial differential equation of the eighth order

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
We study the questions of solvability of the inverse problem for a nonlinear partial differential equation of the eighth order, left-hand side of which is the superposition of pseudoparabolic and pseudohyperbolic operators of the fourth order.
Tursun K Yuldashev
doaj   +1 more source

SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2021
In the paper we consider the boundary value problem of heat conduction outside the cone, i.e. in the domain degenerating into a point at the initial moment of time.
M. I. Ramazanov   +1 more
doaj   +1 more source

General functional-integral Volterra equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007
We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval ...
T. K. Yuldashev, Zh. A. Artykova
doaj   +1 more source

Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux [PDF]

open access: yes, 2016
State-dependent time-impulsive perturbations to a two-dimensional autonomous flow with stable and unstable manifolds are analysed by posing in terms of an integral equation which is valid in both forwards- and backwards-time.
Balasuriya, Sanjeeva
core   +2 more sources

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

On the properties of the solution set map to Volterra integral inclusion

open access: yes, 2017
For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is proved to be $R_\delta$, without auxiliary conditions imposed in Theorem 6 [J. Math. Anal. Appl. 403 (2013), 643-666]. It is shown that the solution set map,
Pietkun, Radosław
core   +1 more source

High Order Methods for a Class of Volterra Integral Equations with Weakly Singular Kernels [PDF]

open access: yes, 1974
The solution of the Volterra integral equation, \[ ( * )\qquad x(t) = g_1 (t) + \sqrt {t}g_2 (t) + \int _0^t \frac {K(t,s,x(s))} {\sqrt {t - s} } ds, \quad 0 \leqq t \leqq T,\] where $g_1 (t)$, $g_2 (t)$ and $K(t,s,x)$ are smooth functions, can be ...
de Hoog, Frank, Weiss, Richard
core   +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

Long time behavior of a mean-field model of interacting neurons [PDF]

open access: yes, 2019
We study the long time behavior of the solution to some McKean-Vlasov stochastic differential equation (SDE) driven by a Poisson process. In neuroscience, this SDE models the asymptotic dynamic of the membrane potential of a spiking neuron in a large ...
Cormier, Quentin   +2 more
core   +5 more sources

Random volterra integral equations

open access: yesMathematical and Computer Modelling, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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