Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Ondrej Dosly"'
Autor:
Ondřej Došlý, Simona Fišnarová
Publikováno v:
Abstract and Applied Analysis, Vol 2011 (2011)
We study perturbations of the nonoscillatory half-linear differential equation (r(t)Φ(x'))'+c(t)Φ(x)=0, Φ(x):=|x|p-2x, p>1. We find explicit formulas for the functions r̂, ĉ such that the equation [(r(t)+λr̂(t))Φ(x')]'+[c(t)+μĉ(t)]Φ(x)=0
Externí odkaz:
https://doaj.org/article/e4b743b667cc4860be43883508635da9
Autor:
Simona Fišnarová, Ondřej Došlý
Publikováno v:
Advances in Difference Equations, Vol 2009 (2009)
We show that the recessive solution of the second-order half-linear difference equation Δ(rkΦ(Δxk))+ckΦ(xk+1)=0, Φ(x):=|x|p−2x, p>1, where r,c are real-valued sequences, is closely related to the divergence of the infinite series ∑∞(rkxkxk
Externí odkaz:
https://doaj.org/article/2288a3f011de4644b67f4a19fc05e7ec
Autor:
Ondrej Dosly
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 10, Pp 1-14 (2016)
We investigate oscillatory properties of perturbed half-linear Euler differential equation. We give an alternative proof (simpler and more straightforward) of the main result of [O. Došlý, H. Funková, Abstr. Appl. Anal. 2012, Art. ID 738472] and w
Externí odkaz:
https://doaj.org/article/65f252825db24bd5aea84e4558f5319c
Autor:
Ondrej Dosly, Vojtech Ruzicka
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 95,, Pp 1-17 (2016)
We investigate oscillatory properties of even-order half-linear differential equations and conditions for negativity of the associated energy functional. First, using the relationship between positivity of the functional and nonoscillation of the
Externí odkaz:
https://doaj.org/article/b292cf55b9e449f5b9fc1791007f95a3
Autor:
Ondrej Dosly, Vojtěch Růžička
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2015, Iss 19, Pp 1-15 (2015)
We establish nonoscillation criteria for even order half-linear differential equations. The principal tool we use is the Wirtinger type inequality combined with various perturbation techniques. Our results extend nonoscillation criteria known for lin
Externí odkaz:
https://doaj.org/article/93254dc467de4a229f9f6fd21b56e164
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2013, Iss 12, Pp 1-14 (2013)
We discuss a new integral characterization of principal solutions for half-linear differential equations, introduced in the recent paper of S. Fisnarova and R. Marik, Nonlinear Anal. 74 (2011), 6427-6433. We study this characterization in the framewo
Externí odkaz:
https://doaj.org/article/98814696db48491abd13a5137c4b51fa
Autor:
Gabriella Bognar, Ondrej Dosly
Publikováno v:
Electronic Journal of Differential Equations, Vol 2012, Iss 174,, Pp 1-8 (2012)
A Picone type identity is established for homogeneous differential operators involving the pseudo p-Laplacian with variable exponent p=p(x). Using this identity, it is shown that the classical Sturmian theory extends to the associated partial differe
Externí odkaz:
https://doaj.org/article/6eeb1b84e84940cab13b37198ef3bc1d
Autor:
Ondrej Dosly, J. Reznickova
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2012, Iss 5, Pp 1-13 (2012)
We study the generalized half-linear second order differential equation and the associated Riccati type differential equation. We introduce the concepts of minimal and principal solutions of these equations and using these concepts we prove a new con
Externí odkaz:
https://doaj.org/article/58ee103885704377a67ba955e6528545
Publikováno v:
Electronic Journal of Differential Equations, Vol 2011, Iss 53,, Pp 1-9 (2011)
In this article, we study a Riccati inequality that appears in the theory of partial differential equations with p-Laplacian. Our results allow to compare existence and nonexistence of positive solutions for Riccati type inequalities which are associ
Externí odkaz:
https://doaj.org/article/d9d05a2ad9a44f5a8e1e44f339e8dccd
Autor:
Zuzana Dosla, Ondrej Dosly
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2007, Iss 7, Pp 1-14 (2008)
We investigate integral and limit characterizations of the principal solution of the nonoscillatory half-linear differential equation $$ (r(t)\Phi(x'))'+c(t)\Phi(x)=0,\quad \Phi(x)=|x|^{p-2},\ p>1 $$. In particular, we supplement and extend the resul
Externí odkaz:
https://doaj.org/article/ad1cf348567c459490f2ccaa7a488eea