Publicación: PERIODIC SOLUTIONS FOR A SECOND-ORDER DIFFERENTIAL EQUATION WITH INDEFINITE WEAK SINGULARITY
Fecha
2019
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PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Resumen
AS A CONSEQUENCE OF THE MAIN RESULT OF THIS PAPER EFFICIENT CONDITIONS GUARANTEEING THE EXISTENCE OF A T -PERIODIC SOLUTION TO THE SECOND-ORDER DIFFERENTIAL EQUATION{
U} = {{H((T))}/U-LAMBDA
ARE ESTABLISHED. HERE, H IS AN ELEMENT OF L(DOUBLE-STRUCK CAPITAL R/TDOUBLE-STRUCK CAPITAL Z) IS A PIECEWISE-CONSTANT SIGN-CHANGING FUNCTION AND THE NON-LINEAR TERM PRESENTS A WEAK SINGULARITY AT 0 (I.E. LAMBDA IS AN ELEMENT OF (0, 1)).
