Integral conditions for nonoscillation of second order nonlinear differential equations
| Authors | |
|---|---|
| Year of publication | 2006 |
| Type | Article in Periodical |
| Magazine / Source | Nonlin. Anal. |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Change of integration; half-linear differential equation; nonoscillatory solution; principal solution |
| Description | An extension of the Fubini theorem is presented and applied in studying the possible coexistence of nonoscillatorz solutions for the nonlinear second order differential equations of the Emden-Fowler type. Some discrepancies among the super-half linear, half-linear and sub-half linear case are pointed out and compared with the linear case. The obtained result for the half-linear equation is applied to prove the integral characterization of principal solutions. |
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