# Forced oscillations in functional differential equations with deviating arguments

Archivum Mathematicum (1983)

- Volume: 019, Issue: 1, page 9-17
- ISSN: 0044-8753

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topSingh, Bhagat, and Kusano, Takaŝi. "Forced oscillations in functional differential equations with deviating arguments." Archivum Mathematicum 019.1 (1983): 9-17. <http://eudml.org/doc/18101>.

@article{Singh1983,

author = {Singh, Bhagat, Kusano, Takaŝi},

journal = {Archivum Mathematicum},

keywords = {oscillation criterion; oscillatory function; disconjugate differential operator},

language = {eng},

number = {1},

pages = {9-17},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Forced oscillations in functional differential equations with deviating arguments},

url = {http://eudml.org/doc/18101},

volume = {019},

year = {1983},

}

TY - JOUR

AU - Singh, Bhagat

AU - Kusano, Takaŝi

TI - Forced oscillations in functional differential equations with deviating arguments

JO - Archivum Mathematicum

PY - 1983

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 019

IS - 1

SP - 9

EP - 17

LA - eng

KW - oscillation criterion; oscillatory function; disconjugate differential operator

UR - http://eudml.org/doc/18101

ER -

## References

top- J. R. Graef M. K. Grammatikopoulos, P. W Spikes, Growth and oscillatory behavior of solutions of a differential equation with a deviating argument, to appear. MR0621534
- J. R. Graef, T. Kusano, Oscillation and nonoscillation criteria for a class of forced differential equations with deviating arguments, in preparation. Zbl0562.34057
- A. Granata, Canonical factorizations of disconjugate differential operators, SIAM J. Math. Anal. 11 (1980), 160-172. (1980) Zbl0431.34008MR0556506
- Y. Kitamura, T. Kusano, Nonlinear oscillation of higher order functional differential equations with deviating arguments, J. Math. Anal. Appl. 77 (1980), 100-119. (1980) Zbl0465.34044MR0591264
- T. Kusano, H. Onose, Oscillations of functional differential equations with retarded argument, J. Differential Equations 15 (1974), 269-277. (1974) Zbl0292.34078MR0333398
- M. Naito, Existence and asymptotic behavior of positive solutions of differential inequalities with deviating argument, Funkcial. Ekvac. 22 (1979), 127-142. (1979) Zbl0437.34060MR0556574
- H. Onose, Oscillation and asymptotic behavior of solutions of retarded differential equations of arbitrary order, Hiroshima Math. J. 3 (1973), 333-360. (1973) Zbl0299.34098MR0348231
- V. N. Ševelo, N. V. Vareh, On the oscillation of solutions of the equation ${\left[r\left(t\right){y}^{(n-1)}\left(t\right)\right]}^{\text{'}}+p\left(t\right)f\left(y\left(\tau \left(t\right)\right)\right)=0$, Ukrain. Mat. Ž. 25 (1973), 724-731. (Russian). (1973) MR0326110
- V. N. Ševelo, Oscillation of Solutions of Differential Equations with Deviating Arguments, Naukova Dumka, Kiev, 1978. (Russian). (1978) MR0492732
- B. Singh, A necessary and sufficient condition for the oscillation of an even order nonlinear delay differential equation, Canad. J. Math. 25 (1973), 1078-1089. (1973) Zbl0273.34047MR0330706
- B. Singh, Impact of delays on oscillations in general functional equations, Hiroshima Math. J. 5 (1975), 351-361. (1975) MR0422822
- W. F. Trench, Canonical forms and principal systems for general disconjugate equations, Trans. Amer. Math. Soc. 189 (1974), 319-327. (1974) Zbl0289.34051MR0330632

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