Results 11 to 20 of about 38 (38)

On the existence of positive solutions of a class of parabolic reaction diffusion systems [PDF]

open access: yes, 2022
In this paper, we show the existence of continuous positive solutions of a class of nonlinear parabolic reaction diffusion systems with initial conditions using techniques of functional analysis and potential analysis. Mathematics Subject Classification (
REDJOUH, Mounir, MESBAHI, Salim
core   +2 more sources

Theoretical and numerical considerations on Bratu-type problems [PDF]

open access: yes, 2022
In this paper we present an heuristic introduction to Bratu problem and we give some variants of Bratu\u27s theorem (G. Bratu, Sur les equations integrales non lineaires, Bulletin Soc. Math. France, 42(1914), 113-142).
PETRUȘEL, Adrian   +2 more
core   +2 more sources

On a first-order differential system with initial and nonlocal boundary conditions

open access: yesDemonstratio Mathematica, 2022
This paper is devoted to the existence of solutions and the multiplicity of positive solutions of an initial-boundary value problem for a nonlinear first-order differential system with nonlocal conditions.
Ngoc Le Thi Phuong, Long Nguyen Thanh
doaj   +1 more source

Two-point nonlocal nonlinear fractional boundary value problem with Caputo derivative: Analysis and numerical solution

open access: yesNonlinear Engineering, 2022
This work presents the existential and unique results for the solution to a kind of high-order fractional nonlinear differential equations involving Caputo fractional derivative.
AhmadSoltani Leyla
doaj   +1 more source

Third-order differential equations with three-point boundary conditions

open access: yesOpen Mathematics, 2021
In this paper, a third-order ordinary differential equation coupled to three-point boundary conditions is considered. The related Green’s function changes its sign on the square of definition. Despite this, we are able to deduce the existence of positive
Cabada Alberto, Dimitrov Nikolay D.
doaj   +1 more source

A monotone iteration for a nonlinear Euler-Bernoulli beam equation with indefinite weight and Neumann boundary conditions

open access: yesOpen Mathematics, 2022
In this article, we focus on the existence of positive solutions and establish a corresponding iterative scheme for a nonlinear fourth-order equation with indefinite weight and Neumann boundary conditions y(4)(x)+(k1+k2)y″(x)+k1k2y(x)=λh(x)f(y(x)),x∈[0,1]
Wang Jingjing, Gao Chenghua, He Xingyue
doaj   +1 more source

Fractal-Fractional Mathematical Model Addressing the Situation of Corona Virus in Pakistan

open access: yesResults in Physics, 2020
This work is the consideration of a fractal fractional mathematical model on the transmission and control of corona virus (COVID-19), in which the total population of an infected area is divided into susceptible, infected and recovered classes.
Kamal Shah   +5 more
doaj   +1 more source

Solvability of infinite systems of second-order differential equations with boundary conditions in ℓp [PDF]

open access: yes, 2021
In this paper, governed by the fundamental solutions we introduce the Green's function of the second-order differential equations in general form with respect to boundary conditions and deal with the solvability of the innite system of second-order ...
Mursaleen, M., Pourhadi, E., Saadati, R.
core  

Relativistic wave equations with fractional derivatives and pseudodifferential operators

open access: yesJournal of Applied Mathematics, Volume 2, Issue 4, Page 163-197, 2002., 2002
We study the class of the free relativistic covariant equations generated by the fractional powers of the d′Alembertian operator (□1/n). The equations corresponding to n = 1 and 2 (Klein‐Gordon and Dirac equations) are local in their nature, but the multicomponent equations for arbitrary n > 2 are nonlocal. We show the representation of the generalized
Petr Závada
wiley   +1 more source

Homoclinic solutions for linear and linearizable ordinary differential equations

open access: yesAbstract and Applied Analysis, Volume 5, Issue 2, Page 65-83, 2000., 2000
Using functional arguments, some existence results for the infinite boundary value problem x˙=F(t,x),x(−∞)=x(+∞) are given. A solution of this problem is frequently called, from Poincaré, homoclinic.
Cezar Avramescu, Cristian Vladimirescu
wiley   +1 more source

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