Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Aigerim Kalybay"'
Publikováno v:
Boundary Value Problems, Vol 2022, Iss 1, Pp 1-21 (2022)
Abstract In the paper, we study the oscillatory and spectral properties of a fourth-order differential operator. These properties are established based on the validity of some weighted second-order differential inequality, where the inequality’s we
Externí odkaz:
https://doaj.org/article/c494ad798bfc4da78cb110bc596f34a6
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-17 (2021)
Abstract In this paper, we investigate the oscillatory properties of two fourth order differential equations in dependence on boundary behavior of its coefficients at infinity. These properties are established based on two-sided estimates of the leas
Externí odkaz:
https://doaj.org/article/6fe2b5ff9e7c410fa9099cb29fdc7bdf
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2021, Iss 3, Pp 1-20 (2021)
In this paper, we obtain strong oscillation and non-oscillation conditions for a class of higher order differential equations in dependence on an integral behavior of its coefficients in a neighborhood of infinity. Moreover, we establish some spectra
Externí odkaz:
https://doaj.org/article/7cb430b47d544d25ae5261dfedea8585
Autor:
Aigerim Kalybay
Publikováno v:
Boundary Value Problems, Vol 2020, Iss 1, Pp 1-11 (2020)
Abstract On the interval [ 0 , 1 ] $[0,1]$ we consider the nth order linear differential equation, the coefficient of the highest derivative of which is equivalent to the power function t μ $t^{\mu }$ when t → 0 $t\rightarrow 0$ . The main aim of
Externí odkaz:
https://doaj.org/article/328db51313004416acf7952c6690ed23
Autor:
Aigerim Kalybay
Publikováno v:
Journal of Function Spaces, Vol 2022 (2022)
In the paper, for a certain class of Hardy operators with kernels, we consider the problem of their boundedness from a second order weighted Sobolev space to a weighted Lebesgue space.
Externí odkaz:
https://doaj.org/article/f0c2132e22b84b148cd58376a8bdd81a
Publikováno v:
Mathematics, Vol 9, Iss 21, p 2830 (2021)
In the paper, we establish the oscillatory and spectral properties of a class of fourth-order differential operators in dependence on integral behavior of its coefficients at zero and infinity. In order to obtain these results, we investigate a certa
Externí odkaz:
https://doaj.org/article/fccabe3dab5b405392c6741499e97df8
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2017, Iss 43, Pp 1-16 (2017)
In local terms on finite and infinite intervals we obtain necessary and sufficient conditions for the conjugacy and disconjugacy of the following second order half-linear difference equation \begin{equation*} \Delta(\rho_i|\Delta y_i|^{p-2}\Delta y_i
Externí odkaz:
https://doaj.org/article/49e41f0b4585408db839cef99b9c335b
Autor:
Aigerim Kalybay
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-11 (2017)
Abstract We establish necessary and sufficient conditions for the one-dimensional differential Hardy inequality to hold, including the overdetermined case. The solution is given in terms different from those of the known results. Moreover, the least
Externí odkaz:
https://doaj.org/article/27924efce5f94df9815b8a01606ffb39
Autor:
Ryskul Oinarov, Aigerim Kalybay
Publikováno v:
Journal of Function Spaces, Vol 2016 (2016)
We characterize the validity of a Hardy-type inequality with a kernel and three parameters 1
Externí odkaz:
https://doaj.org/article/ea033a031a8d49bc9d57b828be0be6ed
Publikováno v:
Journal of Function Spaces and Applications, Vol 2013 (2013)
We find necessary and sufficient conditions on weighted sequences ωi, i=1,2,…,n-1, u, and v, for which the operator (Sn-1f)i=∑k1=1iω1,k1⋯∑kn-1=1kn-2ωn-1,kn-1∑j=1kn-1fj,i≥1, is bounded from lp,v to lq,u for 1
Externí odkaz:
https://doaj.org/article/05a72d0d2d2241939a33efc9bdaabaec