Results 101 to 110 of about 456,539 (203)

The existence of positive solutions to the fractional q-differential equations with integral boundary conditions

Mathematical and Computer Modelling of Dynamical Systems
In this research, we investigate the existence of positive solutions to the fractional q-differential equations under new specified boundary conditions.
Hojjat Afshari, Hasan Rasouli, Asghar Ahmadkhanlu, Erdal Karapinar   +3 more
doaj   +1 more source

Explicit integral criteria for the existence of positive solutions of first order linear delay equations

Electronic Journal of Qualitative Theory of Differential Equations, 2016
It is well known that the linear differential equation $\dot{x}(t)+p(t)x(t-\tau (t))=0$ with continuous delay $\tau \colon \lbrack t_{0}-r,\infty )\rightarrow (0,r]$, $r>0$, $t_{0}\in \mathbb{R}$, and $p\colon \lbrack t_{0},\infty )\rightarrow (0,\infty )
George Chatzarakis, Josef Diblik, Ioannis Stavroulakis   +2 more
doaj   +1 more source

Existence of solutions of systems of Volterra integral equations via Brezis-Browder arguments

Electronic Journal of Differential Equations, 2011
We consider two systems of Volterra integral equations $$ u_i(t)=h_i(t) + int_{0}^{t}g_i(t,s)f_i(s,u_1(s),u_2(s),dots, u_n(s))ds, quad 1leq ileq n $$ where t is in the closed interval $[0,T]$, or in the half-open interval $[0,T)$.
Ravi P. Agarwal, Donal O'Regan, Patricia J. Y. Wong   +2 more
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Existence and Nonexistence of Positive Solutions for Coupled Riemann-Liouville Fractional Boundary Value Problems

Discrete Dynamics in Nature and Society, 2016
We investigate the existence and nonexistence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with two parameters, subject to coupled integral boundary conditions.
Johnny Henderson, Rodica Luca, Alexandru Tudorache   +2 more
doaj   +1 more source

Local extrema of positive solutions of nonlinear functional differential equations

Electronic Journal of Differential Equations, 2018
We study the positive solutions of a general class of second-order functional differential equations, which includes delay, advanced, and delay-advanced equations.
George E. Chatzarakis, Lana Horvat Dmitrovic, Mervan Pasic   +2 more
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Positive solutions of semi-Positone Hammerstein integral equations and applications

Communications on Pure & Applied Analysis, 2007
Multiple positive solutions for semi-positone Hammerstein integral equations are investigated. This provides a general framework for studying the existence of positive solutions for some semi-positone boundary value problems which can be transferred into the Hammerstein integral equations.
openaire   +1 more source

Existence of positive solutions of some integral equations

, 2004
Summary: We study the existence of positive solutions of the integral equation \[ x(t)= \int^1_0k(t,s)f\bigl(s,x(s),x'(s),\dots,x^{(n-1)}(s)\bigr)\,ds,\;n \geq 2 \] in both \(C^{n-1}[0,1]\) and \(W^{n-1,p}[0,1]\) spaces, where \(p \geq 1\). The Krasnoselskiĭ fixed point theorem on cone is used.
openaire   +3 more sources

Existence of positive solutions for a nonlinear quadratic integral equation

Electronic Journal of Differential Equations, 2019
The authors study the existence of positive solutions for the nonlinear quadratic integral equation of the form \[x(t) = g(t, x(t))\int_{-\infty}^t a(t,t-s)f(s,x(s))\;ds,\;t\in\mathbb{R},\] where \(f, g, a\) satisfy some conditions. They prove the existence and uniqueness of bounded and continuous solution with positive infimum by using fixed point ...
Chu-Hang Wang, Hui-Sheng Ding, Gaston M. N'Guerekata   +2 more
openaire   +2 more sources

Positive Solutions of a Hammerstein Integral Equation with a Singular Nonlinear Term, II

Journal of Integral Equations and Applications, 2000
The author presents the existence of a positive measurable solution of a Hammerstein equation of the first kind with a singular nonlinear term at the origin. In section 1 the assumptions and the two theorems obtained are stated. Sections 2, 3 and 4 contain the demonstration and proof of the theorems. Sections 5 and 6 are dedicated to Appendices 1 and 2.
openaire   +6 more sources

Positive Stepanov-like almost automorphic solutions for systems of nonlinear delay integral equations

Electronic Journal of Differential Equations, 2021
Abdellatif Sadrati, Abderrahim Zertiti
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