A Nonlinear Boundary Value Problem for a Nonlinear Ordinary Differential Operator in Weighted Sobolev Spaces

  • Nguyen Thanh Long

    Polytechnic University of Ho Chi Minh City, Vietnam
  • Bui Tien Dung

    University of Ho Chi Minh City, Vietnam
  • Tran Minh Thuyet

    Vietnam National University of Ho Chi Minh City, Vietnam

Abstract

We use the Galerkin and compactness method in appropriate weighted Sobolev spaces to prove the existence of a unique weak solution of the nonlinear boundary valued problem

where are given constants and are given functions.

Cite this article

Nguyen Thanh Long, Bui Tien Dung, Tran Minh Thuyet, A Nonlinear Boundary Value Problem for a Nonlinear Ordinary Differential Operator in Weighted Sobolev Spaces. Z. Anal. Anwend. 19 (2000), no. 4, pp. 1035–1046

DOI 10.4171/ZAA/996