Publicación: EXISTENCE AND MULTIPLICITY OF PERIODIC SOLUTIONS TO AN INDEFINITE SINGULAR EQUATION WITH TWO SINGULARITIES. THE DEGENERATE CASE
Fecha
2019
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Resumen
WE ANALYZE THE EXISTENCE OF T ?PERIODIC SOLUTIONS TO THE SECOND-ORDER INDEFINITE SINGULAR EQUATION U?? = ? H(T) COS ² U WHICH DEPENDS ON A POSITIVE PARAMETER ? > 0. HERE, H IS A SIGN-CHANGING FUNCTION WITH H = 0 AND WHERE THE NONLINEAR TERM OF THE EQUATION HAS TWO SINGULARITIES. FOR THE FIRST TIME, THE DEGENERATE CASE IS STUDIED, DISPLAYING AN UNEXPECTED FEATURE WHICH CONTRASTS WITH THE RESULTS KNOWN IN THE LITERATURE FOR INDEFINITE SINGULAR EQUATIONS. © 2019 AMERICAN INSTITUTE OF MATHEMATICAL SCIENCES. ALL RIGHTS RESERVED.
