Fourth-order nonlinear strongly non-canonical delay differential equations: new oscillation criteria via canonical transform
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Gunasekaran Nithyakala
und
Ethiraju Thandapani
Abstract
In the present paper, new oscillation criteria are established for fourth-order delay differential equations of the form
under the assumption (noncanonical)
We convert the equation into a canonical type, utilize the comparison method, and the Riccati transformation to find sufficient conditions for oscillation of all solutions to the aforementioned problem. This approach greatly simplifies the examination analysis, and provides a substantial improvement of the current results and this is documented by several evidences and illustrated by numerical examples.
J. Alzabut is thankful to Prince Sultan University and OSTİM Technical University for their endless support.
(Communicated by Michal Fečkan)
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© 2024 Mathematical Institute Slovak Academy of Sciences
Artikel in diesem Heft
- Prof. RNDr. Gejza Wimmer, DrSc. – 3/4 C?
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- Fourth-order nonlinear strongly non-canonical delay differential equations: new oscillation criteria via canonical transform
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- A fixed point technique to the stability of Hadamard 𝔇-hom-der in Banach algebras
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- On lower density operators
- Gröbner bases in the mod 2 cohomology of oriented Grassmann manifolds G͠2t,3
- On the von Bahr–Esseen inequality for pairwise independent random vectors in Hilbert spaces with applications to mean convergence
- Large deviations for some dependent heavy tailed random sequences
- Metric, stratifiable and uniform spaces of G-permutation degree
- In memory of Paolo
Artikel in diesem Heft
- Prof. RNDr. Gejza Wimmer, DrSc. – 3/4 C?
- On hyper (r, q)-Fibonacci polynomials
- The pointfree version of 𝓒c(X) via the ranges of functions
- On the x-coordinates of Pell equations that are products of two Pell numbers
- Subordination properties and coefficient problems for a novel class of convex functions
- Certain radii problems for 𝓢∗(ψ) and special functions
- On direct and inverse Poletsky inequalities with a tangential dilatation
- Fourth-order nonlinear strongly non-canonical delay differential equations: new oscillation criteria via canonical transform
- Hermite interpolation of type total degree associated with certain spaces of polynomials
- Decomposition in direct sum of seminormed vector spaces and Mazur–Ulam theorem
- A fixed point technique to the stability of Hadamard 𝔇-hom-der in Banach algebras
- Compact subsets of Cλ,u(X)
- Variations of star selection principles on hyperspaces
- On lower density operators
- Gröbner bases in the mod 2 cohomology of oriented Grassmann manifolds G͠2t,3
- On the von Bahr–Esseen inequality for pairwise independent random vectors in Hilbert spaces with applications to mean convergence
- Large deviations for some dependent heavy tailed random sequences
- Metric, stratifiable and uniform spaces of G-permutation degree
- In memory of Paolo
