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Oscillation of Third-Order Mixed Type Nonlinear Neutral Differential Equations
並列摘要
Sufficient conditions for the oscillation and asymptotic behavior of solutions of neutral differential equations of the form ＂[a(t)[(x(t)+c(t)x(δ(t)))＂]^γ]'=q(t)χ^α(τ(t))+p(t)χ^β(σ(t))＂ are established using comparison theorems. They improve and complement to the existing results. Examples are provided to illustrate the main results.
延伸閱讀
- Sun, S., Li, T., Han, Z., & Li, H. (2012). Oscillation Theorems for Second-Order Quasilinear Neutral Functional Differential Equations. Abstract and Applied Analysis, 2012(), 875-891-658. https://doi.org/10.1155/2012/819342
- Wang, H., Liu, L., & Tan, Y. (2014). Dynamics of Third-Order Nonlinear Neutral Equations. Discrete Dynamics in Nature and Society, 2014(), 705-708-264. https://doi.org/10.1155/2014/917913
- Li, T., & Rogovchenko, Y. V. (2014). Oscillation Theorems for Second-Order Nonlinear Neutral Delay Differential Equations. Abstract and Applied Analysis, 2014(), 412-416-941. https://doi.org/10.1155/2014/594190
- Zhang, Q., Gao, L., Liu, S., & Yu, Y. (2014). New Oscillation Criteria for Third-Order Nonlinear Functional Differential Equations. Abstract and Applied Analysis, 2014(), 267-273. https://doi.org/10.1155/2014/943170
- Bartusek, M., Cecchi, M., Doslá, Z., & Marini, M. (2010). Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument. Abstract and Applied Analysis, (2010), 589-607. https://doi.org/10.1155/2010/278962