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Wyszukujesz frazę "order," wg kryterium: Temat


Tytuł:
On the hyper-order of transcendental meromorphic solutions of certain higher order linear differential equations
Autorzy:
Hamani, K.
Belaidi, B.
Powiązania:
https://bibliotekanauki.pl/articles/255020.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
linear differential equations
transcendental meromorphic function
order of growth
hyper-order
Opis:
In this paper, we investigate the growth of meromorphic solutions of the linear differential equation [formula] where k ≥ 2 is an integer, Pj(z) (j = 0,1,... , k — 1) are nonconstant polynomials and hj(z) are meromorphic functions. Under some conditions, we determine the hyper-order of these solutions. We also consider nonhomogeneous linear differential equations.
Źródło:
Opuscula Mathematica; 2017, 37, 6; 853-874
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation criteria for third order nonlinear delay differential equations with damping
Autorzy:
Grace, S. R.
Powiązania:
https://bibliotekanauki.pl/articles/1397865.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oscillation
third order
delay differential equation
Opis:
This note is concerned with the oscillation of third order nonlinear delay differential equations of the form (r_2(t) (r_q(t)y^\prime(t))^\prime)^\prime + p(t)y^\prime(t)+q(t)f(y(g(t))) = 0$. (*) In the papers [A.Tiryaki, M.F. Aktas, Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping, J. Math. Anal. Appl. 325 (2007), 54-68] and [M.F. Aktas, A. Tiryaki, A. Zafer, Oscillation criteria for third order nonlinear-functional differential equations, Applied Math. Letters 23 (2010), 756-762], the authors established some sufficient conditions which insure that any solution of equation (*) oscillates or converges to zero, provided that the second order equation $(r_2(t)z^\prime(t))^\prime + (p(t)//r_1(t))z(t)=0$ (**) is nonoscillatory. Here, we shall improve and unify the results given in the above mentioned papers and present some new sufficient conditions which insure that any solution of equation (*) oscillates if equation (**) is nonoscillatory. We also establish results for the oscillation of equation (*) when equation (**) is oscillatory.
Źródło:
Opuscula Mathematica; 2015, 35, 4; 485-497
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation theorems concerning non-linear differential equations of the second order
Autorzy:
Elabbasy, E.M.
Elzeiny, Sh.R.
Powiązania:
https://bibliotekanauki.pl/articles/255765.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
second order
nonlinear
differential equations
oscillation
Opis:
This paper concerns the oscillation of solutions of the differential eq. [r,(t) ψ(x(t)) ƒ (x(t))] + q(t) φ (g(x(t)), r(t)ψ(x(t))=0 where uφ(u,v) > 0 for all u ≠ 0, xg(x)>0, xf(x)>0 for all x ≠ 0, ψ(x)>0 for all x ∈ R, r(t)>0 for t≥t0>0 and q is of arbitrary sign. Our results complement the results in [A.G. Kartsatos, On oscillation of nonlinear quations of second order, J. Math. Anal. Appl. 24 (1968), 665-668], and improve a number of existing oscillation criteria. Our main results are illustrated with examples.
Źródło:
Opuscula Mathematica; 2011, 31, 3; 373-391
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An abstract nonlocal second order evolution problem
Autorzy:
Byszewski, L.
Winiarska, T.
Powiązania:
https://bibliotekanauki.pl/articles/255359.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nonlocal
second order
evolution problem
Banach space
Opis:
The aim of the paper is to prove theorems on the existence and uniqueness of mild and classical solutions of a semilinear evolution second order equation together with nonlocal conditions. The theory of strongly continuous cosine families of linear operators in a Banach space is applied.
Źródło:
Opuscula Mathematica; 2012, 32, 1; 75-82
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term
Autorzy:
Graef, John R.
Grace, Said R.
Tunc, Ercan
Powiązania:
https://bibliotekanauki.pl/articles/952818.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oscillatory behavior
neutral differential equation even-order
Opis:
The authors present a new technique for the linearization of even-order nonlinear differential equations with a sublinear neutral term. They establish some new oscillation criteria via comparison with higher-order linear delay differential inequalities as well as with first-order linear delay differential equations whose oscillatory characters are known. Examples are provided to illustrate the theorems.
Źródło:
Opuscula Mathematica; 2019, 39, 1; 39-47
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Forced oscillation and asymptotic behavior of solutions of linear differential equations of second order
Autorzy:
Shoukaku, Yutaka
Powiązania:
https://bibliotekanauki.pl/articles/29519182.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
forced oscillation
asymptotic behavior
second order
differential equation
Opis:
The paper deals with the second order nonhomogeneous linear differential equation (p(t)y′(t))′ + q(t)y(t) = f(t), which is oscillatory under the assumption that p(t) and q(t) are positive, continuously differentiable and monotone functions on [0,∞). Throughout this paper we shall use pairs of quadratic forms, which obtained by different methods than Kusano and Yoshida. This form will lead to a property of qualitative behavior, including amplitudes and slopes, of oscillatory solutions of the above equation. In addition, we will discuss the existence of three types (moderately bounded, small, large) of oscillatory solutions, which are based on results due to Kusano and Yoshida.
Źródło:
Opuscula Mathematica; 2022, 42, 6; 867-885
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New oscillation constraints for even-order delay differential equations
Autorzy:
Moaaz, Osama
Anis, Mona
El-Deeb, Ahmed A.
Elshenhab, Ahmed M.
Powiązania:
https://bibliotekanauki.pl/articles/29519333.pdf
Data publikacji:
2023
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
delay differential equations
even-order
Kneser solutions
oscillation
Opis:
The purpose of this paper is to study the oscillatory properties of solutions to a class of delay differential equations of even order. We focus on criteria that exclude decreasing positive solutions. As in this paper, this type of solution emerges when considering the noncanonical case of even equations. By finding a better estimate of the ratio between the Kneser solution with and without delay, we obtain new constraints that ensure that all solutions to the considered equation oscillate. The new findings improve some previous findings in the literature.
Źródło:
Opuscula Mathematica; 2023, 43, 3; 455-467
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Steering projections in von Neumann algebras
Autorzy:
Wegert, A.
Powiązania:
https://bibliotekanauki.pl/articles/254945.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Murray-von Neumann order
central projection
steering projection
Opis:
A steering projection of an arbitrary von Neumann algebra is introduced. It is shown that a steering projection always exists and is unique (up to Murray-von Neumann equivalence). A general decomposition of arbitrary projections with respect to a steering projection is established.
Źródło:
Opuscula Mathematica; 2015, 35, 2; 251-271
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory behavior of second-order damped differential equations with a superlinear neutral term
Autorzy:
Tunc, Ercan
Ozdemir, Osman
Powiązania:
https://bibliotekanauki.pl/articles/255321.pdf
Data publikacji:
2020
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oscillation
second-order
neutral differential equation
damping term
Opis:
. This article concerns the oscillatory behavior of solutions to second-order damped nonlinear differential equations with a superlinear neutral term. The results are obtained by a Riccati type transformation as well as by an integral criterion. Examples illustrating the results are provided and some suggestions for further research are indicated.
Źródło:
Opuscula Mathematica; 2020, 40, 5; 629-639
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some efficient seventh-order derivative-free families in root-finding
Autorzy:
Soleymani, F.
Powiązania:
https://bibliotekanauki.pl/articles/254710.pdf
Data publikacji:
2013
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
numerical analysis
derivative-free families
order
iterative methods
Opis:
The interest in efficient root-finding iterations is nowadays growing and influenced by the widespread use of high-speed computers. On the other hand, the calculation of derivatives is often hard, when the problems are formulated in terms of nonlinear equations and as a result, the importance of derivative-free methods emerges. For these reasons, some efficient three-step families of iterations for solving nonlinear equations are suggested, where the analytical proofs show their seventh-order error equations consuming only four function evaluations per iteration. We employ hard numerical test problems to illustrate the accuracy of the new methods from the families.
Źródło:
Opuscula Mathematica; 2013, 33, 1; 163-173
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory results for second-order noncanonical delay differential equations
Autorzy:
Dzurina, Jozef
Jadlovska, Irena
Stavroulakis, Ioannis P.
Powiązania:
https://bibliotekanauki.pl/articles/255407.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
linear differential equation
delay
second-order
noncanonical
oscillation
Opis:
The main purpose of this paper is to improve recent oscillation results for the second-order half-linear delay differential equation [formula] under the condition [formula]. Our approach is essentially based on establishing sharper estimates for positive solutions of the studied equation than those used in known works. Two examples illustrating the results are given.
Źródło:
Opuscula Mathematica; 2019, 39, 4; 483-495
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments
Autorzy:
Elabbasy, E. M.
Hassan, T. S.
Moaaz, O.
Powiązania:
https://bibliotekanauki.pl/articles/255993.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oscillation
second order
neutral differential equations
deviating arguments
Opis:
Oscillation criteria are established for second order nonlinear neutral differential equations with deviating arguments of the form [formula] where α > 0 and z(t) = x(t) + p(t)x(t - ϒ). Our results improve and extend some known results in the literature. Some illustrating examples are also provided to show the importance of our results.
Źródło:
Opuscula Mathematica; 2012, 32, 4; 719-730
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation conditions for difference equations with several variable delays
Autorzy:
El-Matary, Bassant M.
El-Morshedy, Hassan A.
Benekas, Vasileios
Stavroulakis, Ioannis P.
Powiązania:
https://bibliotekanauki.pl/articles/29519474.pdf
Data publikacji:
2023
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oscillation
difference equations
non-monotone delays
first order
Opis:
A technique is developed to establish a new oscillation criterion for a first-order linear difference equation with several delays and non-negative coefficients. Our result improves recent oscillation criteria and covers the cases of monotone and non-monotone delays. Moreover, the paper is concluded with an illustrative example to show the applicability and strength of our result.
Źródło:
Opuscula Mathematica; 2023, 43, 6; 789-801
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Kneser-type oscillation criteria for second-order half-linear advanced difference equations
Autorzy:
Indrajith, N.
Graef, John R.
Thandapani, E.
Powiązania:
https://bibliotekanauki.pl/articles/2048703.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
second-order difference equations
advanced argument
half-linear
oscillation
Opis:
The authors present Kneser-type oscillation criteria for a class of advanced type second-order difference equations. The results obtained are new and they improve and complement known results in the literature. Two examples are provided to illustrate the importance of the main results.
Źródło:
Opuscula Mathematica; 2022, 42, 1; 55-64
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the stability of first order impulsive evolution equations
Autorzy:
Wang, J.
Feckan, M.
Zhou, Y.
Powiązania:
https://bibliotekanauki.pl/articles/255727.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
first order
impulsive evolution equations
Ulam-Hyers-Rassias stability
Opis:
In this paper, concepts of Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for impulsive evolution equations are raised. Ulam-Hyers-Rassias stability results on a compact interval and an unbounded interval are presented by using an impulsive integral inequality of the Gronwall type. Two examples are also provided to illustrate our results. Finally, some extensions of the Ulam-Hyers-Rassias stability for the case with infinite impulses are given.
Źródło:
Opuscula Mathematica; 2014, 34, 3; 639-657
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł

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