Multiplicity results for second-order m-point boundary value problem
نویسندگان
چکیده
منابع مشابه
Multiplicity Results for Second Order Nonlinear Boundary Value Problems via Leggett-Williams Fixed-Point Theorem
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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Yansheng Liu1 and Donal O’Regan2 1 Department of Mathematics, Shandong Normal University, Jinan 250014, China 2 Department of Mathematics, National University of Ireland, Galway, Ireland Correspondence should be addressed to Yansheng Liu, [email protected] Received 13 March 2009; Accepted 12 April 2009 Recommended by Juan J. Nieto By using bifurcation techniques, this paper investigates the ex...
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Under suitable conditions on f t u , ( ) , the nonlinear second-order m-point boundary value problem ′′ + ( ) = u t f t u t ( ) , ( ) 0 , 0 1 < < t u( ) 0 0 = , u a u i i i m ( ) ( ) 1 1 2 = = − ∑ x has at least one positive solution. In this paper, the authors examine the positive solutions of nonlinear second-order m-point boundary value problem. Ma, 2001; Sun, 2005) for some recent results o...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2006
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2005.07.084