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On existence theorems for semilinear equations and applications

Tom 107 / 2013

Fang Zhang, Feng Wang Annales Polonici Mathematici 107 (2013), 123-131 MSC: 34B18, 47H11. DOI: 10.4064/ap107-2-2

Streszczenie

Existence results for semilinear operator equations without the assumption of normal cones are obtained by the properties of a fixed point index for A-proper semilinear operators established by Cremins. As an application, the existence of positive solutions for a second order $m$-point boundary value problem at resonance is considered.

Autorzy

  • Fang ZhangSchool of Mathematics and Physics
    Changzhou University
    Changzhou 213164, P.R. China
    e-mail
  • Feng WangSchool of Mathematics and Physics
    Changzhou University
    Changzhou 213164, P. R. China
    e-mail

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