一类四阶边值问题的多解结果

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Multiplicity Results for a Fourth-Order Boundary Value Problem

摘要: 本文研究一类弹性梁方程边值问题y(1)-α₁y+β₁y"+g(x,y,y")=e,02(0.1),而g:[0,1]×R×R→R为连续有界函数,特征对(α₁,β₁)满足α₁+(0+0.5)²π²β₁=(0+0.5)⁴π⁴及α₁+(k+0.5)²π²β₁≠(k+0.5)⁴π⁴,∀k∈N
- 弹性梁方程 /
- 双参数特征值问题 /
- 多解结果
Abstract: This paper deals with multiplicity results for nonlinear elastic equations of the y(1)-α₁y+β₁y"+g(x,y,y")=e,02(0.1),g:[0,1]×R×R→R is a bouuded continuous function. and the pair(α₁,β₁) satisfies α₁+(0+0.5)²π²β₁=(0+0.5)⁴π⁴ and α₁+(k+0.5)²π²β₁≠(k+0.5)⁴π⁴,for all ∀k∈N.
- clastic beam /
- beam /
- wow-parameter eigenvalue problem

[1]	D.G.Gosta and J.V.A.Goncalves.Existence and multiplicity results for a class of nonlinear elliptic boundary、clue problems at resonance,J.Math,Anal.Appl,84(1981).328-338.
[2]	M.A.Delpino and R.F.Manasevich.Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition,Proc,Amer,Math,Soc,112(1991),81-86.
[3]	C.P.Gupta,Existence and uniqueness theorems for the bending of an elastic beam equation,Applicable Analysis,26(1988),289-304.
[4]	C.P.Gupta,Existence and uniqueness theorems for some fourth-order fully quasilinear boundary value problems,Applicable Analysis,36(1991),157-169.
[5]	马如云.弹性梁方程共振间题灼几个多解存在定理,应用数学和力学,14(2)(1993),181-188.
[6]	J.Mawhin,J.R.Ward and M.Willem,Necessary and sufficient conditions of a nonlinear two-point boundary value problems,Proc.,Amer.Math.Soc.,93(1985),667-674.
[7]	R.A.Usmini,A uniqueness theorem for a boundary value problem,Prop.Amer.Math,Sic.,77(1979),329-335.
[8]	Y.Yang,Fourth-order two-point boundary value problems,Proc.,Amer,Math,Soc.,104(1988),175-180.