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Zbl 1105.34326
Sun, Yuan Gong
Oscillation of second order functional differential equations with damping. (English)
[J] Appl. Math. Comput. 178, No. 2, 519-526 (2006). ISSN 0096-3003

Summary: Using a class of new test functions $\Phi(t,s,r)$ defined in our recent work [J. Math. Anal. Appl. 291, 341--351 (2004; Zbl 1061.34027)], we establish some new oscillation criteria for the second-order functional-differential equation with damping $$x''(t)+p(t)x'(t)+ \int^b_a q(t,\xi)f\biggl(x\bigl[g_1(t,\xi)\bigr], \dots,x \bigl[g_m(t,\xi)\bigr] \biggr)d\sigma(\xi)=0.$$ Our results are different from most known ones and can be applied to many cases which are not covered by existing results.

MSC 2000:: *34K11 Oscillation theory of functional-differential equations

Keywords: oscillation; second order; functional-differential equations; damping

Citations: Zbl 1061.34027

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