Existence of solutions for a fully nonlinear fourth-order two-point boundary value problem
โ Scribed by Minghe Pei; Sung Kag Chang
- Book ID
- 107620070
- Publisher
- Springer-Verlag
- Year
- 2010
- Tongue
- English
- Weight
- 375 KB
- Volume
- 37
- Category
- Article
- ISSN
- 1598-5865
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๐ SIMILAR VOLUMES
In this paper, we study the existence of positive solutions of fourth-order boundary value problem of our main result is based upon the Krein-Rutman theorem and the global bifurcation techniques.
A fourth-order accurate finite difference method is developed for a class of fourth order nonlinear two-point boundary value problems. The method leads to a pentadiagonal scheme in the linear cases, which often arise in the beam deflection theory. The convergence of the method is tested numerically
In this peqwr, tlw author uses the methods in [I, 2] to study tile existence of ,~ohttions of three ~mini houndarv vahte problems.[or mmlinear fottrth order d(fferential CtIIHIIiOll tl ~ --" [(t, Y, Y', Y", Y'" ) (~) with the I~otltt(hllT conditions g(ll(a) ,Yt(a) ,YtP(a), Y~lt(a)) = 0, h(y(b),ytr(b