Zobrazeno 1 - 10
of 404
pro vyhledávání: '"Nonoscillatory solution"'
Autor:
Manabu Naito
Publikováno v:
Mathematica Bohemica, Vol 149, Iss 3, Pp 317-336 (2024)
The half-linear differential equation (|u'|^{\alpha}{\rm sgn} u')' = \alpha(\lambda^{\alpha+ 1} + b(t))|u|^{\alpha}{\rm sgn} u, \quad t \geq t_0, is considered, where $\alpha$ and $\lambda$ are positive constants and $b(t)$ is a real-valued continuou
Externí odkaz:
https://doaj.org/article/12e5e5e2b81249229f8089c7f9dae369
Autor:
Belgees Qaraad, Muneerah AL Nuwairan
Publikováno v:
AIMS Mathematics, Vol 8, Iss 10, Pp 23800-23814 (2023)
The aim of this work is to study some asymptotic properties of a class of third-order advanced differential equations. We present new oscillation criteria that complete, simplify and improve some previous results. We also provide many different examp
Externí odkaz:
https://doaj.org/article/2447160bfccc45638455b2fb32a8c901
Autor:
Manabu Naito
Publikováno v:
Opuscula Mathematica, Vol 43, Iss 2, Pp 221-246 (2023)
We consider the half-linear differential equation \[(|x'|^{\alpha}\mathrm{sgn}\,x')' + q(t)|x|^{\alpha}\mathrm{sgn}\,x = 0, \quad t \geq t_{0},\] under the condition \[\lim_{t\to\infty}t^{\alpha}\int_{t}^{\infty}q(s)ds = \frac{\alpha^{\alpha}}{(\alph
Externí odkaz:
https://doaj.org/article/0ba28de52de749e1bc249fbe50d2c84c
Publikováno v:
Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 1598-1613 (2022)
The existence of unbounded solutions and their asymptotic behavior is studied for higher order differential equations considered as perturbations of certain linear differential equations. In particular, the existence of solutions with polynomial-like
Externí odkaz:
https://doaj.org/article/753194251dd5498885607a7c63c57166
Autor:
Yang-Cong Qiu
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-16 (2021)
Abstract In this paper, a class of fourth-order nonlinear neutral dynamic equations on time scales is investigated. We obtain some sufficient conditions for the existence of nonoscillatory solutions tending to zero with some characteristics of the eq
Externí odkaz:
https://doaj.org/article/b884bbeccccb4405b8c1b4109add7540
Autor:
Manabu Naito
Publikováno v:
Opuscula Mathematica, Vol 41, Iss 1, Pp 71-94 (2021)
We consider the half-linear differential equation of the form \[(p(t)|x'|^{\alpha}\mathrm{sgn} x')' + q(t)|x|^{\alpha}\mathrm{sgn} x = 0, \quad t\geq t_{0},\] under the assumption \(\int_{t_{0}}^{\infty}p(s)^{-1/\alpha}ds =\infty\). It is shown that
Externí odkaz:
https://doaj.org/article/7f153483d6f547f0bd8f9460a6480830
Autor:
George E. Chatzarakis
Publikováno v:
Mathematica Bohemica, Vol 145, Iss 4, Pp 435-448 (2020)
Consider the first-order linear delay (advanced) differential equation x'(t)+p(t)x( \tau(t)) =0\quad(x'(t)-q(t)x(\sigma(t)) =0),\quad t\geq t_0, where $p$ $(q)$ is a continuous function of nonnegative real numbers and the argument $\tau(t)$ $(\sigma
Externí odkaz:
https://doaj.org/article/7596ed55601340068e1a4f72ea6a5db0