Results 11 to 20 of about 321 (77)

Local Convergence and Radius of Convergence for Modified Newton Method

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
We investigate the local convergence of modified Newton method, i.e., the classical Newton method in which the derivative is periodically re-evaluated.
Măruşter Ştefan
doaj   +1 more source

On a Cubic Integral Equation of Urysohn Type with Linear Perturbation of Second Kind

open access: yes, 2018
In this paper, we concern by a very general cubic integral equation and we prove that this equation has a solution in C[0, 1]. We apply the measure of noncompactness introduced by Banaś and Olszowy and Darbo’s fixed point theorem to establish the proof ...
Hamed Kamal Awad   +2 more
semanticscholar   +1 more source

Discrete Modified Projection Methods for Urysohn Integral Equations with Green's Function Type Kernels [PDF]

open access: yes, 2019
In the present paper we consider discrete versions of the modified projection methods for solving a Urysohn integral equation with a kernel of the type of Green's function. For $r \geq 0,$ a space of piecewise polynomials of degree $\leq r $ with respect
Kulkarni, Rekha P., Rakshit, Gobinda
core   +4 more sources

On the existence of solutions of a perturbed functional integral equation in the space of Lebesgue integrable functions on R

open access: yes, 2018
In this paper, we investigate and study the existence of solutions for perturbed functional integral equations of convolution type using Darbo’s fixed point theorem, which is associated with the measure of noncompactness in the space of Lebesgue ...
W. Sayed   +1 more
semanticscholar   +1 more source

Variational approach to a class of impulsive differential equations

open access: yesBoundary Value Problems, 2014
In this article, the author discusses the existence of solutions for a class of impulsive differential equations by means of a variational approach different from earlier approaches.MSC:34B37, 45G10, 47H30, 47J30.
D. Guo
semanticscholar   +2 more sources

A nonstandard Volterra integral equation on time scales

open access: yesDemonstratio Mathematica, 2019
This paper introduces the more general result on existence, uniqueness and boundedness for solutions of nonstandard Volterra type integral equation on an arbitrary time scales.
Reinfelds Andrejs, Christian Shraddha
doaj   +1 more source

Numerical approximation for integral equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 20, Page 1057-1065, 2004., 2004
A numerical algorithm, based on a decomposition technique, is presented for solving a class of nonlinear integral equations. The scheme is shown to be highly accurate, and only few terms are required to obtain accurate computable solutions.
Elias Deeba, Shishen Xie
wiley   +1 more source

Decay estimates for nonlinear nonlocal diffusion problems in the whole space [PDF]

open access: yes, 2013
In this paper we obtain bounds for the decay rate in the $L^r (\rr^d)$-norm for the solutions to a nonlocal and nolinear evolution equation, namely, $$u_t(x,t) = \int_{\rr^d} K(x,y) |u(y,t)- u(x,t)|^{p-2} (u(y,t)- u(x,t)) \, dy, $$ with $ x \in \rr^d$, $
Antolin, Angel San   +3 more
core   +3 more sources

On fuzzy Volterra integral equations with deviating arguments

open access: yesInternational Journal of Stochastic Analysis, Volume 2004, Issue 2, Page 169-176, 2004., 2004
We investigate the problem of existence of solutions of fuzzy Volterra integral equations with deviating arguments. The results are obtained by using the Darbo fixed point theorem.
K. Balachandran, P. Prakash
wiley   +1 more source

Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations [PDF]

open access: yes, 2008
In this article, we provide existence results for a general class of nonlocal and nonlinear second-order parabolic equations. The main motivation comes from front propagation theory in the cases when the normal velocity depends on the moving front in a ...
Alvarez   +20 more
core   +4 more sources

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