On the solutions of certain functional-differential equations of the n-th order

Tadeusz Dłotko

Published: 1991-09-30

Vol. 5 (1991)

On the solutions of certain functional-differential equations of the n-th order

Tadeusz Dłotko

Abstract

The classes of solutions in [0,∞) of the general functional-differential equation (1) are studied. The equation (1) includes various types of functional-differential equations with deviated argument. The solutions are functions with discontinuous derivative of the n-th order.

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Dłotko, T. (1991). On the solutions of certain functional-differential equations of the n-th order. Annales Mathematicae Silesianae, 5, 37–42. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14279

References

1. A.R. Aftabizadeh, J. Wiener, Oscillatory properties of first order linear functional differential equations, Applicable Anal. 20 (1985), 165-187.
2. A. Bielecki, T. Dłotko, Sur certaines équations fonctionnelles, Ann. Univ. Mariae Curie-Skłodowska 15, 8 (1961), 97-106.
3. T. Dłotko, Sur certaines équations integro-differentielles du n-ième ordre, Prace Nauk. Uniw. Śląskiego, Prace Mat. 1 (1969), 103-107.
4. W.B. Fite, Concerning the zeros of solutions of certain differential equations, Trans. Amer. Math. Soc. 19 (1918), 341-352.
5. J.G. Mikusiński, On Fite's Oscillation theorems, Colloq. Math. 2 (1951), 34-38.
6. B.G. Zhang, N. Parhi, Oscillatory and nonoscillatory properties of first order differential equations with piecewise constant deviating argument, United Nations Educat. Scientific and Cultural Org., Internat. Atomic Energy Agency, Miramare-Trieste, 1986, p. 16.
7. B.G. Zhang, A survey of oscillation of solutions to first order differential equations with deviating argument, Trends in the Theory and Practice of Nonlinear Analysis, Ed. V. Lakhsmikantham, 1985, 475-483. Google Scholar

Vol. 5 (1991)
Published: 1991-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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