Existence of oscillatory solutions of forced second order delay differential equations. (English) Zbl 1223.34094
By using a modification of Mustafa and Rogovchenko’s technique [O. G. Mustafa and Yu. V. Rogovchenko, “Oscillation of second-order perturbed differential equation”, Math. Nachr. 278, No. 4, 460–469 (2005; Zbl 1079.34021)] and the well-known Schauder-Tychonoff fixed-point theorem, the author establishes the global existence of oscillatory solutions for certain forced second order nonlinear delay differential equations. The obtained results generalize and improve some known results and four illustrative examples are also included.
Reviewer: Qiru Wang (Guangzhou)
MSC:
| 34K11 | Oscillation theory of functional-differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
Citations:
Zbl 1079.34021References:
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