Second order almost linear functional differential equations—oscillation
HTML articles powered by AMS MathViewer
- by Hugo Teufel PDF
- Proc. Amer. Math. Soc. 35 (1972), 117-119 Request permission
Abstract:
It is shown that all solutions of certain second order nonlinear functional differential equations are oscillatory if all solutions of an associated minorizing linear equation are oscillatory.References
- R. C. Grimmer and Paul Waltman, A comparison theorem for a class of nonlinear differential inequalities, Monatsh. Math. 72 (1968), 133–136. MR 227581, DOI 10.1007/BF01298151
- G. Ladas, Oscillation and asymptotic behavior of solutions of differential equations with retarded argument, J. Differential Equations 10 (1971), 281–290. MR 291590, DOI 10.1016/0022-0396(71)90052-0
- Kenneth D. Shere, Nonoscillation of second-order, linear differential equations with retarded argument, J. Math. Anal. Appl. 41 (1973), 293–299. MR 316853, DOI 10.1016/0022-247X(73)90203-5
- Hugo Teufel Jr., Second order nonlinear oscillation—deviating arguments, Monatsh. Math. 75 (1971), 341–345. MR 304819, DOI 10.1007/BF01303568
- Hugo Teufel Jr., A note on second order differential inequalities and functional differential equations, Pacific J. Math. 41 (1972), 537–541. MR 306680, DOI 10.2140/pjm.1972.41.537
- Paul Waltman, A note on an oscillation criterion for an equation with a functional argument, Canad. Math. Bull. 11 (1968), 593–595. MR 237916, DOI 10.4153/CMB-1968-071-2
- D. Willett, Classification of second order linear differential equations with respect to oscillation, Advances in Math. 3 (1969), 594–623. MR 280800, DOI 10.1016/0001-8708(69)90011-5
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 117-119
- MSC: Primary 34K15
- DOI: https://doi.org/10.1090/S0002-9939-1972-0303050-1
- MathSciNet review: 0303050