Results 11 to 20 of about 456,539 (203)

Monotonic solutions of functional integral and differential equations of fractional order [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2009
The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equations have been studied by J. Banas. Here we are concerned with a singular quadratic functional integral equations.
Ahmed El-Sayed, H. H. G. Hashem
doaj   +17 more sources

Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order [PDF]

Journal of Function Spaces, 2017
In this paper, the existence of multiple positive solutions for a class of quadratic integral equation of fractional order is obtained, by utilizing Avery-Henderson and Leggett-Williams multiple fixed point theorems on cones.
Hui-Sheng Ding, Man-Man Liu, Juan J. Nieto   +2 more
doaj   +4 more sources

Positive solutions of Volterra integral equations using integral inequalities

Journal of Inequalities and Applications, 2002
The existence of positive solutions of certain special cases of the possibly singular Volterra integral equation is discussed, using Krasnoselskii's fixed point theorem.
O'regan Donal, Meehan Maria
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Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions [PDF]

Abstract and Applied Analysis, 2012
We investigate the existence and uniqueness of positive solutions of the following nonlinear fractional differential equation with integral boundary value conditions, , , where , and is the Caputo fractional derivative and is a continuous function ...
J. Caballero, I. Cabrera, K. Sadarangani
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Positive solutions of fractional integral equations by the technique of measure of noncompactness [PDF]

Journal of Inequalities and Applications, 2017
In the present study, we work on the problem of the existence of positive solutions of fractional integral equations by means of measures of noncompactness in association with Darbo’s fixed point theorem. To achieve the goal, we first establish new fixed
Hemant Kumar Nashine, Reza Arab, Ravi P Agarwal, Manuel De la Sen   +3 more
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Positive solutions for systems of second-order integral boundary value problems [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2013
We investigate the existence and nonexistence of positive solutions of a system of second-order nonlinear ordinary differential equations, subject to integral boundary conditions.
Rodica Luca, Johnny Henderson
doaj   +4 more sources

Positive solutions for integral boundary value problems of nonlinear fractional differential equations

Miskolc Mathematical Notes
In this paper, we consider integral boundary value problems of nonlinear fractional differential equations. Existence results of positive solutions for the problem are obtained based on the Guo-Krasnoselskii theorem and the Five functional fixed point ...
Tawanda Gallan Chakuvinga, Fatma Serap Topal   +1 more
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Bounds on Positive Integral Solutions of Linear Diophantine Equations II [PDF]

Canadian Mathematical Bulletin, 1976
AbstractLet A be an m × n matrix of rank r and B an m × 1 matrix, both with integer entries. Let M2 be the maximum of the absolute values of the r × r minors of the augmented matrix (A | B). Suppose that the system A x = B has a non-trivial solution in non-negative integers.
Borosh, I., Treybig, L. B.
openaire   +3 more sources

Existence of positive solutions to negative power nonlinear integral equations with weights

Boundary Value Problems, 2020
This paper is devoted to the existence and non-existence of positive solutions to the following negative power nonlinear integral equation related to the sharp reversed Hardy–Littlewood–Sobolev inequality: f q − 1 ( x ) = ∫ Ω K ( x ) f ( y ) K ( y ) | x −
Hang Chen, Qianqiao Guo, Qian Wang
doaj   +1 more source

Positive Solutions of Singular Integral Equations

Journal of Integral Equations and Applications, 2000
The nonlinear singular integral equation \[ y(t)= h(t)+ \int^T_0 K(t,s)f \bigl(y(s)\bigr)ds,\;t\in\langle 0,T\rangle,\;T\in(0,+ \infty \rangle \] is considered. The Schauder fixed point theorem \((T< \infty)\) and the Schauder-Tikhonov fixed point theorem \((T=+ \infty)\) are used to establish the existence of continuous, positive solution of the ...
Meehan, Maria, O'Regan, Donal
openaire   +3 more sources