Oscillation of Odd Order Linear Differential Equations with Deviating Arguments with Dominating Delay Part
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Blanka Baculíková
ABSTRACT
In this paper new oscillatory criteria for odd order linear functional differential equations of the type
have been established. Deviating argument τ(t) is supposed to have dominating delay part.
REFERENCES
[1] Agarwal, R. P.—Grace, S. R.—O’Regan, D.: Oscillation Theory for Second Order Linear, Half-linear, Superlinear and Sublinear Dynamic Equations, Kluver Academic Publishers, Dotrecht 2002.10.1007/978-94-017-2515-6Search in Google Scholar
[2] BACULÍKOVÁ, B.: Oscillation of second-order nonlinear noncanonical differential equations with deviating argument, Appl. Math. Lett. 91 (2019), 68–75.10.1016/j.aml.2018.11.021Search in Google Scholar
[3] BACULÍKOVÁ, B.: Oscillatory behavior of the second order noncanonical differential equation, Electron. J. Qual. Theory Differ. Equ. 89 (2019), 1–17.10.14232/ejqtde.2019.1.89Search in Google Scholar
BACULÍKOVÁ, B.: Oscillation and asymptotic properties of second order half-linear differential equations with mixed deviating arguments, Mathematics 9 (2021), 1–12.10.3390/math9202552Search in Google Scholar
[5] DOŠLÝ, O.—ŘEHÁK, P.: Half-linear Differential Equations., North-Holland Mathematics Studies, vol. 202, 2005.10.1016/S1874-5725(00)80005-XSearch in Google Scholar
[6] ĎZURINA, J.—BACULÍKOVÁ, B.: Oscillation of half-linear differential equation with mixed type of argument, Electron. J. Qual. Theory Differ. Equ. 10 (2022), 1–8.10.14232/ejqtde.2022.1.10Search in Google Scholar
[7] KIGURADZE, I. T.—CHATURIA, T. A.: Asymptotic Properties of Solutions of Nonatunomous Ordinary Differential Equations, Kluwer Acad. Publ., Dordrecht 1993.10.1007/978-94-011-1808-8Search in Google Scholar
[8] KOPLATADZE, R.: On differential equations with a delayed argument having properties A and B, Differen-tialnye Uravneniya 25 (1989), 1897–1909.Search in Google Scholar
[9] KOPLATADZE, R.: On oscillatory properties of solutions of functional differential equations, Mem. Differential Equations Math. Phys. 3 (1994), 1–179.Search in Google Scholar
[10] KOPLATADZE, R.—KVINKADZE, G.—STAVROULAKIS, I. P.: Properties A and B of n-th order linear differential equations with deviating argument, Georgian Math. J. 6 (1999), 553–566.10.1515/GMJ.1999.553Search in Google Scholar
[11] KOPLATADZE, R.—CHANTURIA, T. A.: On Oscillatory Properties of Differential Equations with Deviating Arguments, Tbilisi Univ. Press, Tbilisi, 1977.Search in Google Scholar
[12] KUSANO, T.: On even order functional differential equations with advanced and retarded arguments, J. Differential Equations 45 (1982), 75–84.10.1016/0022-0396(82)90055-9Search in Google Scholar
[13] KUSANO, T.: Oscillation of even order linear functional differential equations with deviating arguments of mixed type, J. Math. Anal. Appl. 98 (1984), 341–347.10.1016/0022-247X(84)90253-1Search in Google Scholar
[14] LADDAS, G.—LAKSHMIKANTHAM, V.—PAPADAKIS, J. S.—ZHANG, B. G.: Oscillation of higher-order retarded differential equations generated by retarded argument. In: Delay and Functional Differential Equations and Their Applications, Academic Press, New York, 1972, pp. 219–231.10.1016/B978-0-12-627250-5.50013-7Search in Google Scholar
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Articles in the same Issue
- A Note on Special Subsets of the Rudin-Frolík Order for Regulars
- The 2-Class Group of Certain Families of Imaginary Triquadratic Fields
- The Deranged Bell Numbers
- On Index and Monogenity of Certain Number Fields Defined by Trinomials
- The k-Generalized Lucas Numbers Close to a Power of 2
- Shifted Power of a Polynomial with Integral Roots
- Further Insights into the Mysteries of the Values of Zeta Functions at Integers
- Memoryless Properties on Time Scales
- A Study of the Higher-Order Schwarzian Derivatives of Hirotaka Tamanoi
- Besov and Triebel-Lizorkin Capacity in Metric Spaces
- Oscillation of Odd Order Linear Differential Equations with Deviating Arguments with Dominating Delay Part
- An Elliptic Type Inclusion Problem on the Heisenberg Lie Group
- Existence Result for a Double Phase Problem Involving the (p(x), q(x))-Laplacian Operator
- A New Series Space Derived by Absolute Generalized Nörlund Means
- Examples of Weinstein Domains in the Complement of Smoothed Total Toric Divisors
- The Uniform Effros Property and Local Homogeneity
- Limit Theorems for Weighted Sums of Asymptotically Negatively Associated Random Variables Under Some General Conditions
- The Unit-Gompertz Quantile Regression Model for the Bounded Responses
- An Extended Gamma-Lindley Model and Inference for the Prediction of Covid-19 in Tunisia
- Modeling Bivariate Data Using Linear Exponential and Weibull Distributions as Marginals