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EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

Yıl 2019, Cilt: 9 Sayı: 3, 666 - 674, 01.09.2019

Öz

We obtain some sucient conditions for the existence of nonoscillatory solutions of nonlinear second order neutral di erential equation with forcing term. Our results improve and extend some existing results. Examples are also included to illustrate our results.

Kaynakça

  • Agarwal, Ravi P., Grace, Said R. and O’Regan, Donal, (2000), Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic Publishers.
  • Agarwal, Ravi P., Bohner Martin and Li, Wan-Tong, (2004), Nonoscillation and Oscillation: Theory for Functional Differential Equations, Marcel Dekker, Inc., New York.
  • Candan, T. and Dahiya, R. S., (2010), Existence of nonoscillatory solutions of first and second order neutral differential equations with distributed deviating arguments, J. Franklin Inst., 347, pp. 1309- 1316.
  • Candan, T., (2012), The existence of nonoscillatory solutions of higher order nonlinear neutral equa- tions, Appl. Math. Lett., 25(3), pp. 412-416.
  • Candan, T. and Dahiya, R. S., (2013), Existence of nonoscillatory solutions of higher order neutral differential equations with distributed deviating arguments, Math. Slovaca, 63(1), pp. 183-190.
  • Candan, T., (2015), Nonoscillatory solutions of higher order differential and delay differential equations with forcing term, Appl. Math. Lett., 39, pp. 67-72.
  • Erbe, L. H. and Kong, Q. and Zhang, B. G., (1995), Oscillation Theory for Functional Differential Equations, Marcel Dekker, Inc., New York.
  • Gy¨ori, I. and Ladas, G., (1991), Oscillation Theory of Delay Differential Equations With Applications, Clarendon Press, Oxford.
  • Tian, Y., Cai, Y. and Li, T., (2015), Existence of nonoscillatory solutions to second-order nonlinear neutral difference equations, J. Nonlinear Sci. Appl., 8, pp. 884-892.
  • Yang, A., Zhang, Z. and Ge, W., (2008), Existence of nonoscillatory solutions of second-order nonlinearneutral differential equations, Indian J. Pure Appl. Math., 39(3), pp. 227-235.
Yıl 2019, Cilt: 9 Sayı: 3, 666 - 674, 01.09.2019

Öz

Kaynakça

  • Agarwal, Ravi P., Grace, Said R. and O’Regan, Donal, (2000), Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic Publishers.
  • Agarwal, Ravi P., Bohner Martin and Li, Wan-Tong, (2004), Nonoscillation and Oscillation: Theory for Functional Differential Equations, Marcel Dekker, Inc., New York.
  • Candan, T. and Dahiya, R. S., (2010), Existence of nonoscillatory solutions of first and second order neutral differential equations with distributed deviating arguments, J. Franklin Inst., 347, pp. 1309- 1316.
  • Candan, T., (2012), The existence of nonoscillatory solutions of higher order nonlinear neutral equa- tions, Appl. Math. Lett., 25(3), pp. 412-416.
  • Candan, T. and Dahiya, R. S., (2013), Existence of nonoscillatory solutions of higher order neutral differential equations with distributed deviating arguments, Math. Slovaca, 63(1), pp. 183-190.
  • Candan, T., (2015), Nonoscillatory solutions of higher order differential and delay differential equations with forcing term, Appl. Math. Lett., 39, pp. 67-72.
  • Erbe, L. H. and Kong, Q. and Zhang, B. G., (1995), Oscillation Theory for Functional Differential Equations, Marcel Dekker, Inc., New York.
  • Gy¨ori, I. and Ladas, G., (1991), Oscillation Theory of Delay Differential Equations With Applications, Clarendon Press, Oxford.
  • Tian, Y., Cai, Y. and Li, T., (2015), Existence of nonoscillatory solutions to second-order nonlinear neutral difference equations, J. Nonlinear Sci. Appl., 8, pp. 884-892.
  • Yang, A., Zhang, Z. and Ge, W., (2008), Existence of nonoscillatory solutions of second-order nonlinearneutral differential equations, Indian J. Pure Appl. Math., 39(3), pp. 227-235.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

B. Çına Bu kişi benim

T. Candan Bu kişi benim

M. T. Şenel Bu kişi benim

Yayımlanma Tarihi 1 Eylül 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 9 Sayı: 3

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