A Counterexample for Singular Equations with Indefinite Weight
Copyright policy )A Counterexample for Singular Equations with Indefinite Weight
Abstract We construct a second-order equation x ¨ = h ( t ) / x p {\ddot{x}=h(t)/x^{p}} , with p > 1 {p>1} and the sign-changing, periodic weight function h having negative mean, which does not have periodic solutions. This contrasts with earlier results which state that, in many cases, such periodic problems are solvable.
- University of Granada Spain
singular equations, Nonlinear boundary value problems for ordinary differential equations, Singular nonlinear boundary value problems for ordinary differential equations, QA1-939, 34b16, 34b15, periodic solutions, Periodic solutions to ordinary differential equations, indefinite weight, Mathematics
singular equations, Nonlinear boundary value problems for ordinary differential equations, Singular nonlinear boundary value problems for ordinary differential equations, QA1-939, 34b16, 34b15, periodic solutions, Periodic solutions to ordinary differential equations, indefinite weight, Mathematics
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