Nonnegative solutions of a class of second order nonlinear differential equations
Tom 57 / 1992
Annales Polonici Mathematici 57 (1992), 71-82
DOI: 10.4064/ap-57-1-71-82
Streszczenie
A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.