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, VietnamBui Tien Dung
University of Ho Chi Minh City, VietnamTran Minh Thuyet
Vietnam National University of Ho Chi Minh City, Vietnam
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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