Oscillatory behaviour of solutions of forced neutral differential equations

• Autorzy: N. Parhi , P. K. Mohanty
• Języki publikacji: EN

Abstrakty

EN

Sufficient conditions are obtained for oscillation of all solutions of a class of forced nth order linear and nonlinear neutral delay differential equations. Also, asymptotic behaviour of nonoscillatory solutions of a class of forced first order neutral equations is studied.

Słowa kluczowe

EN

neutral equation; oscillation; asymptotic behaviour; forced equation

Kategorie tematyczne

• 34C10: Oscillation theory, zeros, disconjugacy and comparison theory
• 34K40: Neutral equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996-1997
• Tom: 65
• Numer: 1
• Strony: 1-10

Daty

wydano

1996

otrzymano

1994-04-11

poprawiono

1994-09-15

Twórcy

autor

N. Parhi

• Department of Mathematics, Berhampur University, Berhampur 760 007, India

autor

P. K. Mohanty

• Department of Mathematics, Berhampur University, Berhampur 760 007, India

Bibliografia

• [1] Q. Chuanxi and G. Ladas, Oscillations of higher order neutral differential equations with variable coefficients, Math. Nachr. 150 (1991), 15-24.
• [2] L. H. Erbe and B. G. Zhang, Oscillation for first order linear differential equations with deviating arguments, Differential Integral Equations 1 (1988), 305-314.
• [3] M. K. Grammatikopoulos, G. Ladas and A. Meimardou, Oscillation and asymptotic behaviour of higher order neutral equations with variable coefficients, Chinese Ann. Math. Ser. B 9 (1988), 322-328.
• [4] J. Jaros and T. Kusano, On a class of first order nonlinear functional differential equations of neutral type, Czechoslovak Math. J. 40 (1990), 475-490.
• [5] P. X. Weng, Oscillation of second order neutral nonlinear functional differential equation, Ann. Differential Equations 7 (1991), 306-315.
• [6] L. Wudu, Existence of nonoscillatory solutions of first order nonlinear neutral equations, J. Austral. Math. Soc. Ser. B 32 (1990), 180-192.
• [7] L. Wudu, Oscillations of high order neutral differential equations with oscillatory coefficient, Acta Math. Appl. Sinica 7 (1991), 135-142.