Multiplicity results for nonlinear mixed boundary value problem
نویسندگان
چکیده
منابع مشابه
Existence and multiplicity results for nonlinear boundary value problems
This paper studies the existence of positive solutions for a class of boundary value problems of elliptic degenerate equations. By using bifurcation and fixed point index theories in the frame of approximation arguments, the criteria of the existence, multiplicity and nonexistence of positive solutions are established. c © 2007 Elsevier Ltd. All rights reserved.
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Under suitable conditions on f(t, x, x′), the boundary value problems −x′′(t) = f(t, x(t), x′(t)), t ∈ I = [0, 1] αx(0)− βx′(0) = 0, γx(1) + δx′(1) = 0, has at least three positive solutions. We employ the abstract result due to Leggett-Williams (Leggett-Williams fixed-point theorem in ordered Banach spaces) to the boundary value problems to get multiplicity results. Mathematics Subject Classif...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2012
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2012-134