Boundary Value Problems (Jan 2010)

Positive Solutions of Singular Complementary Lidstone Boundary Value Problems

  • O'Regan Donal,
  • Staněk Svatoslav,
  • Agarwal RaviP

Journal volume & issue
Vol. 2010, no. 1
p. 368169

Abstract

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We investigate the existence of positive solutions of singular problem , , , . Here, and the Carathéodory function may be singular in all its space variables . The results are proved by regularization and sequential techniques. In limit processes, the Vitali convergence theorem is used.