In this paper, we study the existence of positive solutions of a singular three-point boundary value problem for the following second-order differential equation By constructing an available integral operator and combining fixed point index theory with properties of Green's function under some cond
Triple positive solutions of three-point boundary value problems for fourth-order differential equations
β Scribed by Chuanzhi Bai
- Book ID
- 108077239
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 274 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
We establish the existence of at least three positive solutions to the second-order three-point boundary value problem, u + f t u = 0 u 0 = 0 Ξ±u Ξ· = u 1 , where Ξ· 0 < Ξ· < 1 0 < Ξ± < 1/Ξ·, and f 0 1 Γ 0 β β 0 β is continuous. We accomplish this by making growth assumptions on f which can apply to many
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
In this paper, by using the Leggett-Williams fixed point theorem, we establish an existence criterion for triple positive solutions of the nonlinear fourth-order two-point boundary value problem An example is also included to demonstrate the result we obtained.