Results 31 to 40 of about 321 (77)

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.
Bandle C.   +6 more
core   +1 more source

A Pata-type fixed point theorem in modular spaces with application

open access: yes, 2013
In this paper, we present a Pata-type fixed point theorem in modular spaces which generalizes and improves some old results. As an application, we study the existence of solutions of integral equations in modular function spaces.MSC:47H10, 46A80, 45G10.
M. Paknazar   +3 more
semanticscholar   +1 more source

A note on the existence of non-monotone non-oscillating wavefronts

open access: yes, 2013
In this note, we present a monostable delayed reaction-diffusion equation with the unimodal birth function which admits only non-monotone wavefronts.
Gomez, Carlos   +2 more
core   +1 more source

An Innovative Approach to the Product of k-Hybrid Functional Integral Equation

open access: yesAbstract and Applied Analysis
MSC2020 Classification: 46E30, 45G10, 47H30, 47N20, and ...
A. M. A. El-Sayed, Sh. M. Al-Issa
doaj   +1 more source

Existence of Solutions for a Class of Quasi-Linear Singular Integro-Differential Equations [PDF]

open access: yes, 2007
2000 Mathematics Subject Classification: 45F15, 45G10, 46B38.An existence theorem is proved for a class of quasi-linear singular integro-differential equations with Cauchy ...
Amer, S. M., Hassan, A. A. M.
core  

Exotic dynamics in a firing rate model of neural tissue with threshold accommodation [PDF]

open access: yes, 2007
Many of the equations describing the dynamics of neural systems are written in terms of firing rate functions, which themselves are often taken to be threshold functions of synaptic activity.
Coombes, Stephen, Owen, Markus R.
core   +2 more sources

Innovative Aspects of the Solvability of Multiterm Hybrid Functional Equations via Nonlocal Hybrid Conditions

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This paper explores the solvability of multiterm hybrid functional equations with multiple delays, addressing these equations under some nonlocal hybrid boundary conditions. By applying Schauder fixed‐point theorem, we establish the existence of continuous solutions and provide sufficient requirements for the continuous dependence of the unique ...
A. M. A. El-Sayed   +4 more
wiley   +1 more source

Existence and uniqueness of nonlinear deflections of an infinite beam resting on a non-uniform nonlinear elastic foundation

open access: yes, 2012
We consider the static deflection of an infinite beam resting on a nonlinear and non-uniform elastic foundation. The governing equation is a fourth-order nonlinear ordinary differential equation.
S. Choi, T. Jang
semanticscholar   +1 more source

On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, the solvability of a general form of product type of n‐classes of 2D‐Hadamard–Volterra integral equations in the Banach algebra C([1, a] × [1, b]) is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of ...
Mohamed M. A. Metwali   +3 more
wiley   +1 more source

Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation [PDF]

open access: yes, 2009
Mathematics Subject Classification: 45G10, 45M99, 47H09We study the solvability of a perturbed quadratic integral equation of fractional order with linear modification of the argument.
Darwish, Mohamed, Henderson, Johnny
core  

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