Results 11 to 20 of about 2,297,756 (205)

Fredholm-Volterra integral equation with potential kernel

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω)×C(0,T), Ω={(x,y):x2+y2≤a}, z=0, and ...
M. A. Abdou, A. A. El-Bary
doaj   +3 more sources

Mixed type of Fredholm-Volterra integral equation [PDF]

open access: yesLe Matematiche, 2005
In this paper, under certain conditions, the solution of mixed type of Fredholm-Volterra integral equation is discussed and obtained in the space L_2 (−1, 1) × C[0, T ], T < ∞.
M. A. Abdou, G. M. Abd Al-Kader
doaj   +1 more source

On a pseudo-Volterra nonhomogeneous integral equation [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper the issues of the solvability of a pseudo-Volterra nonhomogeneous integral equation of the second kind are studied. The solution to the corresponding homogeneous equation and the classes of the uniqueness of the solution are found in [1 ...
M.T. Kosmakova   +3 more
doaj   +2 more sources

Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]

open access: yes, 2013
We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
core   +4 more sources

Competitive Lotka–Volterra population dynamics with jumps [PDF]

open access: yes, 2011
This paper considers competitive Lotka–Volterra population dynamics with jumps. The contributions of this paper are as follows. (a) We show that a stochastic differential equation (SDE) with jumps associated with the model has a unique global positive ...
Yuan, Chenggui   +3 more
core   +4 more sources

Cascade-Forward Neural Network for Volterra Integral Equation Solution

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2021
The method of solving volterra integral equation by using numerical solution is a simple operation but to require many memory space to compute and save the operation.
Shymaa Akram Hantoush Alrubaie
doaj   +1 more source

Singular Volterra integral equations

open access: yesApplied Mathematics Letters, 2000
The authors study the existence of a nonnegative solution to the Volterra integral equation \[ y(t) = h(t)+ \int_0^t k(t,s)f(s,y(s)) ds,\quad t\in [0,T], \] where the nonlinearity \(f(t,y)\) may be singular at \(y=0\). The assumptions used are such that they easily get a result on the existence of a solution of the singular initial value problem \(y ...
Agarwal, R.P., O'Regan, D.
openaire   +1 more source

Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]

open access: yes, 2012
This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
core   +1 more source

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

open access: yes, 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.
core   +3 more sources

Solvability of a Volterra–Stieltjes integral equation in the class of functions having limits at infinity

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
The paper is devoted to the study of the solvability of a nonlinear Volterra–Stieltjes integral equation in the class of real functions defined, bounded and continuous on the real half-axis $\mathbb{R}_+$ and having finite limits at infinity.
Jozef Banas, Agnieszka Dubiel
doaj   +1 more source

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