On singular solutions of a second order differential equation
| Authors | |
|---|---|
| Year of publication | 2006 |
| Type | Article in Periodical |
| Magazine / Source | Electronic Journal of Qualitative Theory of Differential Equations |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | nonlinear second order differential equations;singular solutions;noncontinuable solutions |
| Description | Sufficient conditions are given under which all nontrivial solutions of (g(a(t)y'))' + r(t)f(y) = 0 are proper where a > 0,r > 0, f(x)x>0 , g(x)x>0 for x is different from zero and g is increasing.A sufficient conditions for the existence of a noncontinuable solution is given. |
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