Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1061.34017
Çakmak, D.; Tiryaki, A.
Oscillation criteria for certain forced second-order nonlinear differential equations.
(English)
[J] Appl. Math. Lett. 17, No. 3, 275-279 (2004). ISSN 0893-9659

Summary: Two new oscillation criteria for forced second-order nonlinear differential equations of the form $$\left(r(t)\Psi\bigl(y(t)\bigr) \bigl|y' (t)\bigr|^{\alpha-1}y'(t)\right)'+q(t)f\bigl(y(t)\bigr)=e(t),\quad t \ge t_0,$$ are established. Our results are based on the information on a sequence of subintervals of $[t_0,\infty)$ only, rather than on the whole half-line. Our methodology is somewhat different from that of previous authors. The results presented here are much more general than a recent result of {\it W. T. Li} and {\it S. S. Cheng} [Appl. Math. Lett. 15, 259--263 (2002; Zbl 1023.34029)].
MSC 2000:
*34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Citations: Zbl 1023.34029

Highlights
Master Server