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Multiplicity results for a fourth-order boundary value problem

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Abstract

This paper deals with multiplicity results for nonlinear elastic equations of the type

$$\begin{array}{*{20}c} {y^{(v)} - a_1 y + \beta _1 y^v + g(x,y,y'') = e,0< x< 1} \\ {y(0) = y''(0) = y'(1) = y'''(1) = 0} \\ \end{array}$$

where∈L2(0, 1), g′[0,1]×R×R→R is a bounded continuous junction, and the pair (x 1,β 0) satisfics

$$a_1 + (0 + 0.5)^2 \pi ^2 \beta _1 = (0 + 0.5)^4 \pi ^4$$

and

$$a_1 + (k + 0.5)^2 \pi ^2 \beta _1 = (k + 0.5)^4 \pi ^4 ,forallk \in N$$

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Authors and Affiliations

  1. Department of Mathematics, Northwest Normal University, 730070, Lanzhou, P. R. China

    Ma Ruyun & Ma Qinsheng

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  1. Ma Ruyun
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  2. Ma Qinsheng
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Ruyun, M., Qinsheng, M. Multiplicity results for a fourth-order boundary value problem. Appl Math Mech 16, 961–969 (1995). https://doi.org/10.1007/BF02538837

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  • DOI: https://doi.org/10.1007/BF02538837

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