TITLE

# Nonlinear Boundary Value Problems on Semi-Infinite Intervals using Weighted Spaces: An Upper and Lower Solution Approach

AUTHOR(S)
Donal O'Regan; Baoqiang Yan; Ravi P. Agarwal
PUB. DATE
February 2007
SOURCE
Positivity;Feb2007, Vol. 11 Issue 1, p171
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
Abstract??This paper presents a lower and upper solution approach for singular second order boundary value problems on the half line and establishes the existence of positive, unbounded and monotone solutions.
ACCESSION #
23877145

## Related Articles

• Multiple Positive Solutions via Index Theory for Singular Boundary Value Problems with Derivative Dependence. Baoqiang Yan; Donal O�??Regan; Ravi Agarwal // Positivity;Nov2007, Vol. 11 Issue 4, p687

AbstractÂ Â The existence of multiple positive solutions is presented for the singular second-order boundary value problems \left\{\begin{array}{ll} x^{\prime\prime}\Phi(t)f(t,x,x') =0, 0 using the fixed point index, where f may be singular at x Â =Â  0 and xï¿½?ï¿½...

• Phase Separation in a Bidirectional Two-Lane Asymmetric Exclusion Process. Jiang, Rui; Nishinari, Katsuhiro; Mao-Bin Hu; Yong-Hong Wu; Qing-Song Wu // Journal of Statistical Physics;Jul2009, Vol. 136 Issue 1, p73

This paper studies a bidirectional two-lane asymmetric exclusion process, in which particles move in opposite direction on the two lanes. Interaction between the two lanes is implemented as follows: particle hops with rate p when there is a particle at the same site in the other lane, otherwise...

• Coerciveness Estimate for Ventcel Boundary Value Problem for a Differential Equation. Aibeche, Aissa; Favini, Angelo; Goldstein, Jerome A. // Semigroup Forum;Mar2005, Vol. 70 Issue 2, p269

We give some simple algebraic conditions on the coefficients of a boundary value problem for a differential equations of Ventcel type, depending on a spectral parameter, which guarantee the existence, uniqueness of a solution and coerciveness estimate, for a spectral parameter lying in some sector.

• Parabolic pseudodifferential equations. Vasil�ev, V.; Kuz�michev, A. // Differential Equations;Mar2006, Vol. 42 Issue 3, p452

The article discusses a parabolic version of the theory of the elliptic and parabolic boundary value problems for pseudodifferential equations in the simplest two-dimensional case. All relevant equations, notations and calculations are presented.

• On boundary value problems for systems of linear generalized ordinary differential equations with singularities. Ashordiya, M. // Differential Equations;Mar2006, Vol. 42 Issue 3, p307

The article focuses on the boundary value problems for systems of linear generalized ordinary differential equations with singularities. The existence of a solution of the system of linear generalized ordinary differential equations was analyzed. All relevant equations, solutions and...

• New trace formulae for a quadratic pencil of the Schrï¿½dinger operator. Chuan Fu Yang // Journal of Mathematical Physics;Mar2010, Vol. 51 Issue 3, p033506

This work deals with the eigenvalue problem for a quadratic pencil of the Schrï¿½dinger operator on a finite closed interval with the two-point boundary conditions. We will obtain new regularized trace formulas for this class of differential pencil.

• The variational contact problem for elastic objects of different dimensions. Khludnev, A. M.; Hoffmann, K.-H.; Botkin, N. D. // Siberian Mathematical Journal;May2006, Vol. 47 Issue 3, p584

We consider the variational free boundary problem describing the contact of an elastic plate with a thin elastic obstacle. The contact domain is unknown a priori and should be determined. The problem is described by a variational inequality for a fourth-order operator. The constraint on the...

• POSITIVE SOLUTIONS FOR A PERIODIC BOUNDARY VALUE PROBLEM WITHOUT ASSUMPTIONS OF MONOTONICITY AND CONVEXITY. FULI WANG; FANG ZHANG // Bulletin of Mathematical Analysis & Applications;Sep2011, Vol. 3 Issue 2, p261

In the case of not requiring the nonlinear term to be monotone or convex, we study the existence of positive solutions for second-order periodic boundary value problem by using the first eigenvalue of the corresponding linear problem and fixed point index theory. The work significantly improves...

• Existence of solution for boundary value problems of differential equations with delay. Xiguang Li // World Academy of Science, Engineering & Technology;Aug2011, Issue 56, p1400

In this paper, by using fixed point theorem, upper and lower solution's method and monotone iterative technique, we prove the existence of maximum and minimum solutions of differential equations with delay, which improved and generalize the result of related paper.

Share