Recent Advances in Oscillation Theory of Differential Equations: Problems, Solutions and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C1: Difference and Differential Equations".
Deadline for manuscript submissions: closed (25 March 2022) | Viewed by 16647
Special Issue Editor
Special Issue Information
Dear Colleagues,
Differential equations have long been an integral part of modern life and can be encountered everywhere. Various models of functional differential equations have been posed in different science, strongly motivating research in the qualitative theory of differential equations. As a part of this approach, oscillation theory of functional differential equations has developed very rapidly during the last decade. It has concerned itself largely with the oscillatory and nonoscillatory properties of solutions.
This Special Issue includes but is not limited to
- Finding conditions for oscillation of all solutions;
- Finding conditions for the absence of nonoscillatory solutions;
- Establishing new monotonic properties for possible nonoscillatory solutions;
- Establishing comparison criteria by which the oscillatory and asymptotic behavior of functional differential equations is inherited from the oscillation of an associated first or second order differential equations;
- Study the existence of positive solutions for various types of differential equations which tend monotonically to zero.
Dr. Blanka Baculíková
Guest Editor
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Keywords
- Oscillation theory
- Functional differential equations
- Comparison theorems
- Canonical and noncanonical forms
- Delayed and advanced equations
- Monotonic properties
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