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A Note on a Singular Dirichlet Problem

A Note on a Singular Dirichlet Problem
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摘要 The Dirichlet problem to a second order differential equation with some singularities is studied. Some existence results are established to the problem which generalize some results recently obtained by D. O’Regan by eliminating some superfluous constrains to the problem. Also, some new results have been proven which may provide more useful information for the study of the problem. The Dirichlet problem to a second order differential equation with some singularities is studied. Some existence results are established to the problem which generalize some results recently obtained by D. O'Regan by eliminating some superfluous constrains to the problem. Also, some new results have been proven which may provide more useful information for the study of the problem.
出处 《Northeastern Mathematical Journal》 CSCD 2005年第2期158-164,共7页 东北数学(英文版)
基金 Partially supported by NNSF (10371050 & 19971036) of ChinaPartially supported by Foundation for Supporting Excellent Young Teachers by Ministry of Education of China.
关键词 EXISTENCE SINGULAR NONRESONANCE existence, singular, nonresonance
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参考文献2

  • 1O'Regan, D., Singular boundary value problems-Ⅰ, Superlinear and nonresonant case, Nonlinear Anal. TMA, 29(1997), 221-245.
  • 2Mawhin, J. and Ward, J. R., Nonuniform nonresonance conditions at the first two eigenvalues for periodic solutions of forced Lienard and Duffing equations, Rocky Mount. J. Math., 112(1982),643-645.

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