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

Nguyễn Thành Long | Zendy; Bui Tien Dung | Zendy; Tran Minh Thuyet | Zendy

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

Author(s) -

Nguyễn Thành Long,

Bui Tien Dung,

Tran Minh Thuyet

Publication year - 2000

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/996

Subject(s) - sobolev space , mathematics , nonlinear system , trace operator , mathematical analysis , boundary value problem , ordinary differential equation , operator (biology) , differential operator , pure mathematics , differential equation , elliptic boundary value problem , physics , free boundary problem , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene

We use the Calerkin and compactness method in appropriate weighted Sobolev spaces to prove the existence of a unique weak solution of the nonlinear boundary valued problem —*M(x,u'(x)) + f(x,u(x)) = F(x) (0< x < 1) Ilimo + x"u'(x)I < + M(1,u'(1)) + h(zt(1)) = 0 where -y > 0, p ^! 2 are given constants and f, F, h, M are given functions.

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