TY  - JOUR
T1  - EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS
AU  - Çına, B.
AU  - Candan, T.
AU  - Şenel, M. T.
PY  - 2019
DA  - September
JF  - TWMS Journal of Applied and Engineering Mathematics
JO  - JAEM
PB  - Işık University Press
WT  - DergiPark
SN  - 2146-1147
SP  - 666
EP  - 674
VL  - 9
IS  - 3
LA  - en
AB  - We obtain some sucient conditions for the existence of nonoscillatory solutions of nonlinear second order neutral dierential equation with forcing term. Our results improve and extend some existing results. Examples are also included to illustrate our results.
KW  - Fixed point
KW  - Second-order
KW  - Nonoscillatory solution.
CR  - Agarwal, Ravi P., Grace, Said R. and O’Regan, Donal, (2000), Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic Publishers.
CR  - Agarwal, Ravi P., Bohner Martin and Li, Wan-Tong, (2004), Nonoscillation and Oscillation: Theory for Functional Differential Equations, Marcel Dekker, Inc., New York.
CR  - 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.
CR  - Candan, T., (2012), The existence of nonoscillatory solutions of higher order nonlinear neutral equa- tions, Appl. Math. Lett., 25(3), pp. 412-416.
CR  - 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.
CR  - Candan, T., (2015), Nonoscillatory solutions of higher order differential and delay differential equations with forcing term, Appl. Math. Lett., 39, pp. 67-72.
CR  - Erbe, L. H. and Kong, Q. and Zhang, B. G., (1995), Oscillation Theory for Functional Differential Equations, Marcel Dekker, Inc., New York.
CR  - Gy¨ori, I. and Ladas, G., (1991), Oscillation Theory of Delay Differential Equations With Applications, Clarendon Press, Oxford.
CR  - 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.
CR  - 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.
UR  - https://dergipark.org.tr/en/pub/twmsjaem/article/761009
L1  - https://dergipark.org.tr/en/download/article-file/1179006
ER  -