Zobrazeno 1 - 10
of 154
pro vyhledávání: '"Ethiraju Thandapani"'
Publikováno v:
Mathematica Bohemica, Vol 149, Iss 1, Pp 39-47 (2024)
We study the oscillatory behavior of the second-order quasi-linear retarded difference equation \Delta(p(n)(\Delta y(n))^\alpha)+\eta(n) y^\beta(n- k)=0 under the condition $\sum_{n=n_0}^\infty p^{-\frc1{\alpha}}(n)
Externí odkaz:
https://doaj.org/article/031042869eac4285807e9f9930e9af47
Autor:
Ekambaram Chandrasekaran, George E. Chatzarakis, Radhakrishnan Sakthivel, Ethiraju Thandapani
Publikováno v:
Mathematics, Vol 12, Iss 19, p 3113 (2024)
This paper focuses on the oscillatory properties of the third-order semi-canonical nonlinear delay differential equation. By using the new canonical transform method, we transformed the studied equation into a canonical-type equation, which simplifie
Externí odkaz:
https://doaj.org/article/b4512dcf70a249c7a4e6761ff0710d29
Publikováno v:
Mathematics, Vol 12, Iss 18, p 2847 (2024)
The purpose of this paper is to add some new asymptotic and oscillatory results for third-order neutral delay differential equations with noncanonical operators. Without assuming any extra conditions, by using the canonical transform technique, the s
Externí odkaz:
https://doaj.org/article/8c4699d8602a4964abce25f188d39ddb
Publikováno v:
Electronic Journal of Differential Equations, Vol 2023, Iss 70,, Pp 1-12 (2023)
Externí odkaz:
https://doaj.org/article/4cb364420c2c4e829565382503f78216
Publikováno v:
Electronic Journal of Differential Equations, Vol 2023, Iss 45,, Pp 1-12 (2023)
Externí odkaz:
https://doaj.org/article/7b2609daa4aa4f7f8fa4b333f3c34942
Publikováno v:
Mathematica Bohemica, Vol 147, Iss 2, Pp 271-284 (2022)
We obtain some new sufficient conditions for the oscillation of the solutions of the second-order quasilinear difference equations with delay and advanced neutral terms. The results established in this paper are applicable to equations whose neutral
Externí odkaz:
https://doaj.org/article/63210c0060eb42b882079392e182da8c
Publikováno v:
Mathematica Bohemica, Vol 146, Iss 3, Pp 263-278 (2021)
In this paper, we present several sufficient conditions for the existence of nonoscillatory solutions to the following third order neutral type difference equation \Delta^3(x_n+a_n x_{n-l} +b_n x_{n+m})+p_n x_{n-k} - q_n x_{n+r}=0,\quad n\geq n_0 via
Externí odkaz:
https://doaj.org/article/1e4dd31ba8c54530a410ba5172cdecb3
Publikováno v:
International Journal of Differential Equations, Vol 2022 (2022)
This paper discusses some sufficient conditions for oscillatory behavior of even-order half-linear neutral differential equation. An example is given to illustrate the main result.
Externí odkaz:
https://doaj.org/article/2694c5ddfc444aa2844e179f5e40e501
Publikováno v:
Mathematica Bohemica, Vol 144, Iss 1, Pp 25-37 (2019)
Sufficient conditions are obtained for the third order nonlinear delay difference equation of the form \Delta(a_n(\Delta(b_n(\Delta y_n)^{\alpha})))+q_nf(y_{\sigma(n)})=0 to have property ${(\rm A)}$ or to be oscillatory. These conditions improve and
Externí odkaz:
https://doaj.org/article/a4f2dbbd3f6448cb9e371eee31e55904
Publikováno v:
Electronic Journal of Differential Equations, Vol 2017, Iss 90,, Pp 1-13 (2017)
In this article, we study the oscillatory behavior of the third-order neutral type difference equation $$ \Delta(a_n(\Delta^2(x_n+p_nx_{n-k}))^{\alpha})+q_nf(x_{n-l})=0 $$ where $\alpha>0$, $a_n>0$, $q_n\geq 0$ and $0\leq p_n\leq p
Externí odkaz:
https://doaj.org/article/9fd269fbbedf40cc843f1b57ff4d60a4