Results 21 to 30 of about 3,298 (223)

Explicit Solution of the Time Domain Volume Integral Equation Using a Stable Predictor-Corrector Scheme [PDF]

, 2012
An explicit marching-on-in-time (MOT) scheme for solving the time domain volume integral equation is presented. The proposed method achieves its stability by employing, at each time step, a corrector scheme, which updates/corrects fields computed by the ...
Bağcı, H, Benson, Trevor, Sewell, P, Vukovic, A, Al Jarro, Ahmed, Bagci, Hakan, Al-Jarro, A, Benson, TM, Salem, MA, Salem, Mohamed, Sewell, Phillip D., Vuković, Ana   +11 more
core   +1 more source

Almost sure subexponential decay rates of scalar Ito-Volterra equations. [PDF]

, 2004
The paper studies the subexponential convergence of solutions of scalar Itˆo-Volterra equations. First, we consider linear equations with an instantaneous multiplicative noise term with intensity .
Appleby John A. D., Appleby, John A.D., John Appleby   +2 more
core   +1 more source

On Solutions of a Nonlinear Erdélyi-Kober Integral Equation

Abstract and Applied Analysis, 2014
We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type.
Nurgali K. Ashirbayev, Józef Banaś, Raina Bekmoldayeva   +2 more
doaj   +1 more source

Eigenvalues of Volterra Operator [PDF]

ITM Web of Conferences
Integral equations frequently appear in many mechanics problems. Several of them are grouped based on the location of an unknown function or the integration interval. Here we have a boundary problem that will be rearranged into Volterra integral equation.
Maharani Dian, Rahman Hairur, Nugroho Fresy, Lestari Tri Mukti, Buditjahjanto I.G.P. Asto, Pebrianti Dwi, Hammad Jehad A.H., Fachri Moch.   +7 more
doaj   +1 more source

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

Vestnik 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

Вестник 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, Nurtay Kudaibergenovich Gulmanov   +1 more
doaj   +1 more source

General functional-integral Volterra equation

Vestnik 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

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

Electronic 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

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

Opuscula 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

Existence, uniqueness and HUR stability of fractional integral equations by random matrix control functions in MMB-space

Journal of Taibah University for Science, 2021
In this paper, we consider a generalized triangular norm on matrix and introduce Menger Banach matrix valued spaces. Next, we apply a class of random matrix control functions to investigate the existence, uniqueness and HUR stability of a class of ...
Reza Chaharpashlou, Reza Saadati, Thabet Abdeljawad   +2 more
doaj   +1 more source