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New Hille Type and Ohriska Type Criteria for Nonlinear Third-Order Dynamic Equations.
- Source :
-
Mathematics (2227-7390) . Nov2022, Vol. 10 Issue 21, p4143. 12p. - Publication Year :
- 2022
-
Abstract
- The objective of this paper is to derive new Hille type and Ohriska type criteria for third-order nonlinear dynamic functional equations in the form of a 2 (ζ) φ α 2 a 1 ζ φ α 1 x Δ (ζ) Δ Δ + q (ζ) φ α x (g (ζ)) = 0 , on a time scale T , where Δ is the forward operator on T ,   α 1 ,   α 2 ,   α > 0 , and g ,   q ,   a i , i   =   1 ,   2 , are positive r d -continuous functions on T , and φ θ (u) : = u θ − 1 u . Our results in this paper are new and substantial for dynamic equations of the third order on arbitrary time scales. An example is included to illustrate the results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
*FUNCTIONAL equations
*POSITIVE operators
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 21
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 160207560
- Full Text :
- https://doi.org/10.3390/math10214143