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

• 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.

• Asymptotic analysis of a parabolic semilinear problem with nonlinear boundary multiphase interactions in a perforated domain. Mel'nik, T.; Sivak, O. // Journal of Mathematical Sciences;Jan2010, Vol. 164 Issue 3, p427

We consider a parabolic semilinear problem with rapidly oscillating coefficients in a domain Î©Îµ that is Îµ-periodically perforated by small holes of size $\mathcal {O}$(Îµ). The holes are divided into two Îµ-periodical sets depending on the boundary interaction at their surfaces, and...

• 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...

• 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.

• SINGULAR BOUNDARY VALUE PROBLEMS WITH QUADRATIC GROWTH IN THE FIRST DERIVATIVE. WENSHU ZHOU; XIAODAN WEI // Communications in Mathematical Analysis;2009, Vol. 6 Issue 2, p10

This paper is concerned with positive solutions of boundary value problems for a singular second order ordinary differential equation. By the classical method of elliptic regularization, we prove some existence results, which generalize and extend some results of [13].

• INTEGRABILITY OF BLOW-UP SOLUTIONS TO SOME NON-LINEAR DIFFERENTIAL EQUATIONS. Karls, Michael; Mohammed, Ahmed // Electronic Journal of Differential Equations;2004, Vol. 2004, p1

We investigate the integrability of solutions to the boundary blow-up problem r-Î»(rÎ»(uâ€²)p-1â€² = H (r, u), uâ€² (0) â‰¥ 0, u (R) = âˆž under some appropriate conditions on the non-linearity H.

• UNIQUENESS FOR DEGENERATE ELLIPTIC SUBLINEAR PROBLEMS IN THE ABSENCE OF DEAD CORES. García-Melián, Jorge // Electronic Journal of Differential Equations;2004, Vol. 2004, p1

In this work we study the problem - div(|âˆ‡u|p-2âˆ‡u) = Î»f(u) in the unit ball of RN, with u = 0 on the boundary, where p > 2, and Î» is a real parameter. We assume that the nonlinearity f has a zero u0 > 0 of order k â‰¥ p - 1. Our main contribution is showing that there...

• Computation of Consistent Initial Values for Nonlinear Index 3 DAEs. Lamour, René; Mazzia, Francesca // AIP Conference Proceedings;9/6/2007, Vol. 936 Issue 1, p607

The computation of consistent initial values is one of the basic problems solving initial or boundary value problems of DAEs. The difficulties to compute consistent initial values start before a numerical computation. For a given DAE it is not obvious how to formulate the initial conditions...

• The Finite Transfer Method and its Application to the Problem of Curved Beams. Gimena, Faustino N.; Gonzaga, Pedro; Gimena, Lazaro // AIP Conference Proceedings;5/27/2009, Vol. 1138 Issue 1, p35

The Finite Transfer Method is presented to solve a system of linear ordinary differential equations with boundary conditions. It is applied to determine the structural behaviour of the problem of a spatially curved beam element. The approach of this boundary value problem yields a unique system...

Share