Displaying similar documents to “Multiple solutions of nonlinear boundary value problems by the quasilinearization process”

On a class of functional boundary value problems for the equation x'' = f(t,x,x',x'',λ)

Svatoslav Staněk (1994)

Annales Polonici Mathematici

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The Leray-Schauder degree theory is used to obtain sufficient conditions for the existence and uniqueness of solutions for the boundary value problem x'' = f(t,x,x',x'',λ), α(x) = 0, β(x̅) = 0, γ(x̿)=0, depending on the parameter λ. Here α, β, γ are linear bounded functionals defined on the Banach space of C⁰-functions on [0,1] and x̅(t) = x(0) - x(t), x̿(t)=x(1)-x(t).

φ -Laplacian BVPs with linear bounded operator conditions

Kamal Bachouche, Smaïl Djebali, Toufik Moussaoui (2012)

Archivum Mathematicum

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The aim of this paper is to present new existence results for φ -Laplacian boundary value problems with linear bounded operator conditions. Existence theorems are obtained using the Schauder and the Krasnosel’skii fixed point theorems. Some examples illustrate the results obtained and applications to multi-point boundary value problems are provided.