Results 21 to 30 of about 457,753 (313)

Stability of positive solutions of local partial differential equations with a nonlinear integral delay term

Electronic Journal of Qualitative Theory of Differential Equations, 2008
Stability properties of positive stationary solutions to local partial differential equations with delay are studied. The results are applied to equations with not necessarily convex (concave) nonlinearities, for example, to the diffusive Nicholson's ...
Alexander Rezounenko
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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.
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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.
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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
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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
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Qualitative properties of solutions for an integral system related to the Hardy-Sobolev inequality [PDF]

, 2014
This article carries out a qualitative analysis on a system of integral equations of the Hardy--Sobolev type. Namely, results concerning Liouville type properties and the fast and slow decay rates of positive solutions for the system are established. For
Villavert, John
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Positive solutions of conformable fractional differential equations with integral boundary conditions

Boundary Value Problems, 2018
In this paper, we discuss the existence of positive solutions of the conformable fractional differential equation Tαx(t)+f(t,x(t))=0 $T_{\alpha }x(t)+f(t,x(t))=0$, t∈[0,1] $t\in [0,1]$, subject to the boundary conditions x(0)=0 $x(0)=0$ and x(1)=λ∫01x(t ...
Wenyong Zhong, Lanfang Wang
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A positive fixed point theorem with applications to systems of Hammerstein integral equations [PDF]

, 2014
We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to prove the existence of positive solutions ...
Cabada, Alberto, Cid, José Ángel, Infante, Gennaro   +2 more
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New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions

Boundary Value Problems, 2011
This paper investigates the existence and multiplicity of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions.
Meiqiang Feng, Xuemei Zhang, WeiGao Ge
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Positive Solutions of Singular and Nonsingular Fredholm Integral Equations

Journal of Mathematical Analysis and Applications, 1999
The authors consider the nonlinear Fredholm integral equation \[ y(t)=h(t)+ \int^T_0k(t,s) \biggl[f\bigl(y(s) \bigr)+g\bigl(y(s) \bigr)\biggr]ds, \quad t\in [0,T], \] where \(h\in C[0,T]\), \(f:[0,\infty) \to[0,\infty)\) is continuous and nondecreasing, \(g:(0,\infty) \to[0,\infty)\) is continuous and nonincreasing and possibly singular.
Meehan, Maria, O'Regan, Donal
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