Zobrazeno 1 - 10
of 316
pro vyhledávání: '"Said R. Grace"'
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 31, Iss 1 (2023)
We present two sufficient conditions for the oscillatory behaviour of a class of noncanonical fourth-order dynamic equations on arbitrary time scales. An illustrative example is included to show that new criteria improve related results reported in t
Externí odkaz:
https://doaj.org/article/a5d8b9db721b41efb134d77fea98c90c
Autor:
Said R. Grace, Gokula Nanda Chhatria
Publikováno v:
Opuscula Mathematica, Vol 42, Iss 6, Pp 849-865 (2022)
In this work, we study the oscillation and asymptotic behaviour of third-order nonlinear dynamic equations on time scales. The findings are obtained using an integral criterion as well as a comparison theorem with the oscillatory properties of a firs
Externí odkaz:
https://doaj.org/article/aa829988506f4277add49099a2b29499
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-21 (2022)
Abstract In this paper, we present a single-condition sharp criterion for the oscillation of the fourth-order linear delay differential equation x ( 4 ) ( t ) + p ( t ) x ( τ ( t ) ) = 0 $$ x^{(4)}(t) + p(t)x\bigl(\tau (t)\bigr) = 0 $$ by employing
Externí odkaz:
https://doaj.org/article/022eb5b74ab94ce2ad13b279be247dd5
Publikováno v:
Journal of the Egyptian Mathematical Society, Vol 29, Iss 1, Pp 1-14 (2021)
Abstract The authors present necessary and sufficient conditions for the oscillation of a class of second order non-linear neutral dynamic equations with non-positive neutral coefficients by using Krasnosel’skii’s fixed point theorem on time scal
Externí odkaz:
https://doaj.org/article/b274fc1afeae42db968bfcafaf91c4a4
Publikováno v:
AIMS Mathematics, Vol 6, Iss 6, Pp 5493-5501 (2021)
In this paper, several oscillation criteria for a class of higher order dynamic equations with superlinear neutral term are established. The proposed results provide a unified platform that adequately covers both discrete and continuous equations and
Externí odkaz:
https://doaj.org/article/134dd9b9ad504d129053b772f6e158ee
Autor:
Jehad Alzabut, Said R. Grace, Jagan Mohan Jonnalagadda, Shyam Sundar Santra, Bahaaeldin Abdalla
Publikováno v:
Axioms, Vol 12, Iss 4, p 325 (2023)
This work provides new adequate conditions for difference equations with forcing, positive and negative terms to have non-oscillatory solutions. A few mathematical inequalities and the properties of discrete fractional calculus serve as the fundament
Externí odkaz:
https://doaj.org/article/9fda8e0668a04b83981f7c68268cea30
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-18 (2021)
Abstract In this paper, new oscillation results for nonlinear third-order difference equations with mixed neutral terms are established. Unlike previously used techniques, which often were based on Riccati transformation and involve limsup or liminf
Externí odkaz:
https://doaj.org/article/fa753571bdea4afb8c4f4787c4cbc88d
Autor:
Ercan Tunc, Said R. Grace
Publikováno v:
Electronic Journal of Differential Equations, Vol 2020, Iss 32,, Pp 1-11 (2020)
This article studies the oscillatory and asymptotic behavior of solutions to a class of third-order nonlinear differential equations with superlinear neutral term. The results are obtained by a comparison with first-order delay differential equati
Externí odkaz:
https://doaj.org/article/3f8293a9bbd54fb6a2efc9cfe3950b67
Publikováno v:
Opuscula Mathematica, Vol 40, Iss 2, Pp 227-239 (2020)
This paper is concerned with the asymptotic behavior of the nonoscillatory solutions of the forced fractional differential equation with positive and negative terms of the form \[^{C}D_{c}^{\alpha}y(t)+f(t,x(t))=e(t)+k(t)x^{\eta}(t)+h(t,x(t)),\] wher
Externí odkaz:
https://doaj.org/article/d778264831474e56b02099a2ef3eab3a
Autor:
Said R. Grace, Jehad Alzabut
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-12 (2020)
Abstract In this paper, we establish new oscillation criteria for nonlinear second order difference equations with mixed neutral terms. The key idea of our approach is to compare with first order equations whose oscillatory behaviors are already know
Externí odkaz:
https://doaj.org/article/5fd1548618154e6e80d9796b78f5cbc2