Resumen de Existence and Uniqueness of Homoclinic Solution for a Rayleigh Equation with a Singularity
The problem of homoclinic solutions is considered for a singular Rayleigh equation x′′(t)+f(x′(t))-g(x(t))-α(t)x(t)1-x(t)=h(t),where f,g,h,α:R→R are continuous and α(t) is T-periodic. By using a continuation theorem of coincidence degree principle, some new results on the existence and uniqueness of homoclinic solution to the equation are obtained.
