Annali di Matematica Pura ed Applicata

, Volume 101, Issue 1, pp 247–261 | Cite as

Existence and comparison results for a class of nonlinear boundary value problems

  • Jagdish Chandra
  • B. A. Fleishman


In this paper we investigate a class of nonlinear boundary value problems of Sturm-Liouville type. Specifically, we consider the equation
$$(r(x,u)u')' + f(x,u) = 0 ' = \frac{d}{{dx}}$$
, along with the boundary conditions
$$u(0) = u'(1) = 0$$
. Notice that nonlinearity is allowed both in the coefficient of the Sturn-Liouville operator (r(x, u)) and the source term. Such boundary value problems are suggested by several steady-state processes. The purpose of this paper is to establish existence of a positive solution of the boundary value problem(1) and(2) and formulate some comparison results.


Boundary Condition Comparison Result Source Term Nonlinear Boundary 
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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1974

Authors and Affiliations

  • Jagdish Chandra
    • 1
  • B. A. Fleishman
    • 2
  1. 1.Durham
  2. 2.Troy

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