论文信息 - Oscillation theorems for fourth order functional differential equations

Oscillation theorems for fourth order functional differential equations

AbstractThe authors investigate the oscillatory behavior of all solutions of the fourth order functional differential equations $\frac{d^{3}}{dt^{3}}(a(t)(\frac{dx(t)}{dt})^{\alpha})+q(t)f(x[g(t)])=0$ and $\frac{d^{3}}{dt^{3}}(a(t)(\frac{dx(t)}{dt})^{\alpha})=q(t)f(x[g(t)])+p(t)h(x[\sigma(t)])$ in the case where ∫∞a−1/α(s)ds<∞. The results are illustrated with examples.

[1] Ravi P. Agarwal,et al. Oscillation criteria for certain fourth order nonlinear functional differential equations , 2006, Math. Comput. Model..

[2] Non‐Oscillatory Solutions for Higher Order Dynamic Equations , 2003 .

[3] C. Philos,et al. On the existence of nonoscillatory solutions tending to zero at ∞ for differential equations with positive delays , 1981 .

[4] Ravi P. Agarwal,et al. Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations , 2002 .

[5] Ravi P. Agarwal,et al. On the oscillation of certain functional differential equations via comparison methods , 2003 .

[6] Ravi P. Agarwal,et al. Oscillation Theory for Second Order Dynamic Equations , 2002 .

[7] G. Ladas,et al. Oscillation Theory of Delay Differential Equations: With Applications , 1992 .

[8] B. S. Lalli,et al. On oscillation of half-linear functional-differential equations with deviating arguments , 1994 .

[9] Ravi P. Agarwal,et al. Oscillation Theory for Difference and Functional Differential Equations , 2000 .

[10] Ravi P. Agarwal,et al. The oscillation of certain higher-order functional differential equations , 2003 .