OSCILLATION BEHAVIOR OF A CLASS OF NEW GENERALIZED EMDEN-FOWLER EQUATIONS

Abstract

In this paper, we analyze a class of new generalized Emden-Fowler equations. By using the generalized Riccati transformation and specific analytical skills, new oscillation criteria are obtained which generalize and improve some known results.

Dates

  • Submission Date2013-09-02
  • Revision Date2014-05-18
  • Acceptance Date2014-07-07
  • Online Date2015-01-04

DOI Reference

10.2298/TSCI1405567L

References

  1. Wintner, A., A Criterion of Oscillatory Stability, Quart. Appl, Math, 7 (1949), pp. 115-117
  2. Kamenev, I. V., An Integral Criterion for Oscillation of Linear Differential Equations of Second Order (in Russian), Math. Zametki, 23 (1978), 2, pp. 249-251 (Translation in: Mathematical Notes of the Academy of Sciences of the USSR, 23 (1978), 2, pp. 136-138
  3. Philos, C. G., Oscillation Theorems for Linear Differential Equations of Second Order (in German), Arch. Math, 53 (1989), 5, pp. 482-492
  4. Liu, H., et al., Oscillation and Asymptotic Analysis on a New Generalized Emden-Fowler Equation, Applied Mathematics and Computation, 219 (2012), 5, pp. 2739-2748
  5. Abdel Latif, M. S., Some Exact Solutions of KdV Equation with Variable Coefficients, Commun. Nonlinear. Sci. Numer. Simel. 16 (2011), 4, pp. 1783-1786
  6. Kiguradze, I. T., On the Asymptotic Properties of Solutions of the Equation u″ + a(t) un = 0, Sobbsc. Akad. Nauk. Gruzin SSR, 30 (1963), 2, pp. 129-136
  7. Wong, J. S., On the Generalized Emden-Fowler Equation, SIAM Rev., 17 (1975), 2, pp. 339-360
  8. Pachpatte, B. G., Inequalities Related to the Zeros of Solutions of Certain Second Order Differential Equations, Ser. Math. Inform., 16 (2001), pp. 21-24
  9. Yang, X. J., Oscillation Criterion for a Class of Quasilinear Differential Equations, Appl. Math. Comput., 153 (2004), 1, pp. 225-229
  10. Li, W. T., Interval Oscillation of Second-Order Half-Linear Functional Differential Equations, Appl. Math. Comput., 155 (2004), 2, pp. 451-468
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