Oscillation of Higher-Order Neutral Dynamic Equations on Time Scales
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Date
2012
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Springeropen
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GOLD
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Abstract
In this article, using comparison with second-order dynamic equations, we establish sufficient conditions for oscillatory solutions of an nth-order neutral dynamic equation with distributed deviating arguments. The arguments are based on Taylor monomials on time scales. 2000 Mathematics Subject Classification: 34K11; 39A10; 39A99.
Description
Keywords
Time Scale, Higher Order, Oscillation, Taylor'S Formula, Economics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Monomial, Engineering, Differential equation, FOS: Mathematics, Time Scales, Genetics, Functional Differential Equations, Biology, Order (exchange), Impulsive Differential Equations, Algebra and Number Theory, Applied Mathematics, Physics, Oscillation (cell signaling), Pure mathematics, Partial Differential Equations, Partial differential equation, Applied mathematics, Nonlocal Partial Differential Equations and Boundary Value Problems, Semilinear Differential Equations, Control and Systems Engineering, FOS: Biological sciences, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Dynamic equation, Analysis, Mathematics, Ordinary differential equation, Finance, Oscillation theory of functional-differential equations, time scale, higher order, oscillation, Dynamic equations on time scales or measure chains, Taylor's formula
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Mert, R. (2012). Oscillation of higher-order neutral dynamic equations on time scales. Advances In Difference Equations. http://dx.doi.org/10.1186/1687-1847-2012-68
WoS Q
Q1
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OpenCitations Citation Count
5
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Advances in Difference Equations
Volume
2012
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CrossRef : 3
Scopus : 10
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10
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Web of Science™ Citations
7
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3
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