New Kamenev-type oscillation criteria for second-order nonlinear differential equations with damping

By Yuangong Sun. 2004

50 citations recorded by the source corpus.

Abstract Some new oscillation criteria are established for the nonlinear damped differential equation (r(t)y′)′+p(t)y′+q(t)f(y)=0 that are different from most known ones in the sense that they are based on a class of new functions Φ(t,s,r) defined in the sequel. Our results are sharper than some previous results which can be seen by the examples at the end of this paper.

Subfields: Applied Mathematics, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/618ef36557bfa5348a45b4d5a17a2f8675b5d78b

Citations in the corpus

• INTERVAL OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING (2007, unknown): “First results of this type were obtained by El-Sayed [3] and later by Huang [7], Kong [9], Li and Agarwal [10], Nasr [12], Sun [16] [17], Tiryaki and Zafer [18], and Zheng [22].”