Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Petr Hasil"'
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 39, Pp 1-18 (2024)
This note is a reaction on a recently published sufficient condition for oscillation of all solutions of a neutral delay differential equation. It is shown by a counterexample that the result is not correct and the problem is explained in details. Se
Externí odkaz:
https://doaj.org/article/728992e9e1fb4f4ba6ccf3c6ae97a47f
Publikováno v:
Archeologické Rozhledy, Vol 76, Iss 1 (2024)
The Sauersack/Rolava POW camp from World War II is the first archaeologically investigated site of its kind in Bohemia, and thanks to its highly authentic state of preservation it can be considered one of the best archaeologically known internment fa
Externí odkaz:
https://doaj.org/article/5bdaec00ef3144c49e2b384285039e10
Publikováno v:
Electronic Journal of Differential Equations, Vol 2022, Iss 41,, Pp 1-16 (2022)
Externí odkaz:
https://doaj.org/article/0698608d274e48e3870b35bc060e7779
Autor:
Petr Hasil, Michal Veselý
Publikováno v:
AIMS Mathematics, Vol 7, Iss 6, Pp 10681-10699 (2022)
In this paper, we study linear differential equations whose coefficients consist of products of powers of natural logarithm and very general continuous functions. Recently, using the Riccati transformation, we have identified a new type of conditiona
Externí odkaz:
https://doaj.org/article/edbd744dd3964e1d9b949a72ae4ed020
Publikováno v:
Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-30 (2019)
Abstract This paper is devoted to the analysis of the oscillatory behavior of Euler type linear and half-linear differential equations. We focus on the so-called conditional oscillation, where there exists a borderline between oscillatory and non-osc
Externí odkaz:
https://doaj.org/article/a068b705ff074385bb32ced8c753d010
Autor:
Petr Hasil, Michal Vesely
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 24,, Pp 1-22 (2018)
We analyze second-order half-linear dynamic equations on time scales. We prove oscillation and non-oscillation criteria which are sharp in the sense that the considered equations remain uncovered only for one setting of their coefficients. We con
Externí odkaz:
https://doaj.org/article/fd6606ee7d2e4b23ac4babbd70d8aab1
Autor:
Petr Hasil, Michal Veselý
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 59, Pp 1-22 (2016)
By the combination of the modified half-linear Prüfer method and the Riccati technique, we study oscillatory properties of half-linear differential equations. Taking into account the transformation theory of half-linear equations and using some know
Externí odkaz:
https://doaj.org/article/020863d7f7064634b74b21d8fff97509
Autor:
Petr Hasil, Michal Vesely
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 120,, Pp 1-12 (2016)
Recently, it was shown that the Euler type half-linear differential equations $$ [ r (t) t^{p-1}\Phi(x')]' + \frac{s (t)}{ t \log^p t} \Phi(x) = 0 $$ with periodic coefficients r and s are conditionally oscillatory and the critical oscillation c
Externí odkaz:
https://doaj.org/article/e72dcc4d830344d6b950840309f829c5
Autor:
Petr Hasil, Michal Vesely
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 220,, Pp 1-14 (2015)
Applying the modified half-linear Prufer angle, we study oscillation properties of the half-linear differential equation $$ [ r(t) t^{p-1} \Phi(x')]' + \frac{s(t)}{t \log^pt} \Phi(x) = 0, \quad \Phi(x)=|x|^{p-1}\hbox{sgn} x. $$ We show that thi
Externí odkaz:
https://doaj.org/article/d4a19ac6ace74b9097fcbc220d5f4435
Autor:
Petr Hasil, J. Vítovec
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2015, Iss 6, Pp 1-24 (2015)
We investigate second-order half-linear Euler-type dynamic equations on time scales with positive periodic coefficients. We show that these equations are conditionally oscillatory, i.e., there exists a sharp borderline (a constant given by the coeffi
Externí odkaz:
https://doaj.org/article/971d7649d2a2490884a3a838cfa2825a