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Title: Higher order two-point boundary value problems with asymmetric growth
Authors: Santos, Ana Isabel
Minhós, Feliz Manuel
Keywords: Higher two-point BVP
Lower and upper solutions
One-sided Nagumo-type condition
Degree theory
Positive solutions
Continuous model of human-spine
Issue Date: 7-Jan-2008
Abstract: In this work it is studied the higher order diferential equation u^(n)(t)=f(t,u(t),u′(t),...,u^(n-1)(t)) with n∈N such that n≥2, t∈[a,b], f:[a,b]×Rⁿ→R a continuous function and the two-point boundary conditions u^{(i)}(a)=A_{i}, A_{i}∈R, i=0,...,n-3. u^(n-1)(a)=0, u^(n-1)(b)=0. From one-sided Nagumo type conditions, allowing that f can be unbounded, it is obtained an existence and location result, that is, besides the existence given by Leray-Schauder topological degree, some bounds of the solution and its derivatives till (n-2) are given by the well order lower and upper solutions. An application to a continuous model of human-spine, via beam theory, will be presented.
ISSN: 1937-1179
Type: article
Appears in Collections:MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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