A note on Nasr’s and Wong’s papers. (English) Zbl 1042.34096

Sun, Yuan Gong

J. Math. Anal. Appl. 286, No. 1, 363-367 (2003).

Summary: In the case of oscillatory potentials, we give sufficient conditions for the oscillation of a forced nonlinear second-order differential equations with delayed argument of the form \[ x^{\prime\prime}(t)+ q(t)| x(\tau(t)) |^\gamma \operatorname{sgn} x(\tau(t))= f(t) \] in the linear (\(\gamma\)=1) and the superlinear (\(\gamma>1\)) case. See, A. H. Nasr [Proc. Am. Math. Soc. 126, 123–125 (1998; Zbl 0891.34038)] and {J. S. W. Wong} [J. Math. Anal. Appl. 231, 235–240 (1999; Zbl 0922.34029)].

MSC:

34K11

Oscillation theory of functional-differential equations

Keywords:

Oscillation; Forced nonlinear equations; Delayed argument

Citations:

Zbl 0891.34038; Zbl 0922.34029

References:

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