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MULTIPLE SOLUTIONS TO SINGULAR BVPS WITH VARIABLE COEFFICIENT ON THE HALF-LINE

MULTIPLE SOLUTIONS TO SINGULAR BVPS WITH VARIABLE COEFFICIENT ON THE HALF-LINE
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摘要 This paper is concerned with a singular second-order nonlinear boundary value problem with a time depending on derivative operator and posed on the positive half-line. The nonlinearity is derivative-dependent, which has singularities at t=0 and/or x=0, and may change sign. The method of the upper and lower solutions on unbounded domains combined with the topological degree theory are employed to prove the existence and multiplicity of solutions. This paper is concerned with a singular second-order nonlinear boundary value problem with a time depending on derivative operator and posed on the positive half-line. The nonlinearity is derivative-dependent, which has singularities at t=0 and/or x=0, and may change sign. The method of the upper and lower solutions on unbounded domains combined with the topological degree theory are employed to prove the existence and multiplicity of solutions.
作者 Sma?l Djebali Samira Zahar
机构地区 Laboratoire "Théorie du point Fixe et Applications" Dept.of Math.
出处 《Annals of Differential Equations》 2013年第3期324-337,共14页 微分方程年刊（英文版）
关键词 lower and upper solution infnity interval sign changing nonlinearity variable coefcient derivative depending nonlinearity singularity Nagumo condition MULTIPLICITY lower and upper solution infnity interval sign changing nonlinearity variable coefcient derivative depending nonlinearity singularity Nagumo condition multiplicity
分类号 O175.8 [理学—基础数学]
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共引文献4

Annals of Differential Equations
2013年 第3期

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