Zobrazeno 1 - 10
of 463
pro vyhledávání: '"Said R. Grace"'
Autor:
Bohner, Martin
Publikováno v:
SIAM Review, 2004 Dec 01. 46(4), 748-751.
Externí odkaz:
https://www.jstor.org/stable/20453581
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