On the solvability of a boundary value problem for a fourth-order ordinary differential equation

نویسندگان

  • Maria do Rosário Grossinho
  • Luis Sanche
  • Stepan A. Tersian
چکیده

We study the existence and multiplicity of nontrivial periodic solutions for a semilinear fourth-order ordinary differential equation arising in the study of spatial patterns for bistable systems. Variational tools such as the Brezis–Nirenberg theorem and Clark theorem are used in the proofs of the main results. © 2004 Elsevier Ltd. All rights reserved. MSC: 34B15; 34C25; 35K35

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 18  شماره 

صفحات  -

تاریخ انتشار 2005