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Tytuł:
Asymptotic behavior of solutions of discrete Volterra equations
Autorzy:
Migda, J
Migda, M.
Powiązania:
https://bibliotekanauki.pl/articles/254889.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Volterra difference equation
prescribed asymptotic behaviour
asymptotically polynomial solution
asymptotically periodic solution
bounded solution
Opis:
We consider the nonlinear discrete Volterra equations of non-convolution type [formula] We present sufficient conditions for the existence of solutions with prescribed asymptotic behavior, especially asymptotically polynomial and asymptotically periodic solutions. We use o(ns), for a given nonpositive real s, as a measure of approximation. We also give conditions under which all solutions are asymptotically polynomial.
Źródło:
Opuscula Mathematica; 2016, 36, 2; 265-278
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory properties of fourth order nonlinear difference equations with quasidifferences
Autorzy:
Schmeidel, E.
Migda, M.
Musielak, A.
Powiązania:
https://bibliotekanauki.pl/articles/255808.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nonlinear difference equation
oscillatory solution
nonoscillatory solution
fourth order
Opis:
In this paper we present the oscillation criterion for a class of fourth order nonlinear difference equations with quasidifferences.
Źródło:
Opuscula Mathematica; 2006, 26, 2; 371-380
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An attribute based similarity function for VRP decision support
Autorzy:
Lokketangen, A.
Oppen, J.
Oyola, J.
Woodruff, D. L.
Powiązania:
https://bibliotekanauki.pl/articles/375919.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
solution variety
solution similarity
vehicle routing problem
VRP
DSS
Opis:
When solving problems in the real world using optimization tools, the model solved by the tools is often only an approximation of the underlying, real, problem. In these circumstances, a decision maker (DM) should consider a diverse set of good solutions, not just an optimal solution as produced using the model. On the other hand, the same DM will only be interested in seeing a few of the alternative solutions, and not the plethora of solutions often produced by modern search techniques. There is thus a need to distinguish between good solutions using the attributes of solutions. We develop a distance function of the type proposed in the Psychology literature by Tversky (1977) for the class of VRP problems. We base our difference on the underlying structure of solutions. A DM is often interested in focusing on a set of solutions fulfilling certain conditions that are of specific importance that day, or in general, like avoiding a certain road due to construction that day. This distance measure can also be used to generate solutions containing these specific classes of attributes, as the normal search process might not supply enough of these interesting solutions. We illustrate the use of the functions in a Multiobjective Decision Support System (DSS) setting, where the DM might want to see the presence (or absence) of certain attributes, and show the importance of identifying solutions not on the Pareto front. Our distance measure can use any attributes of the solutions, not just those defined in the optimization model.
Źródło:
Decision Making in Manufacturing and Services; 2012, 6, 1-2; 65-83
1896-8325
2300-7087
Pojawia się w:
Decision Making in Manufacturing and Services
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillations of equations caused by several deviating arguments
Autorzy:
Chatzarakis, George E.
Powiązania:
https://bibliotekanauki.pl/articles/952820.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
differential equation
non-monotone argument
oscillatory solution
nonoscillatory solution
Opis:
Linear delay or advanced differential equations with variable coefficients and several not necessarily monotone arguments are considered, and some new oscillation criteria are given. More precisely, sufficient conditions, involving limsup and liminf, are obtained, which essentially improve several known criteria existing in the literature. Examples illustrating the results are also given, numerically solved in MATLAB.
Źródło:
Opuscula Mathematica; 2019, 39, 3; 321-353
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Improved iterative oscillation tests for first-order deviating differential equations
Autorzy:
Chatzarakis, G. E,
Jadlovska, I.
Powiązania:
https://bibliotekanauki.pl/articles/255719.pdf
Data publikacji:
2018
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
differential equation
non-monotone argument
oscillatory solution
nonoscillatory solution
Opis:
In this paper, improved oscillation conditions are established for the oscillation of all solutions of differential equations with non-monotone deviating arguments and nonnegative coefficients. They lead to a procedure that checks for oscillations by iteratively computing lim sup and lim inf on terms recursively defined on the equation's coefficients and deviating argument. This procedure significantly improves all known oscillation criteria. The results and the improvement achieved over the other known conditions are illustrated by two examples, numerically solved in MATLAB.
Źródło:
Opuscula Mathematica; 2018, 38, 3; 327-356
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of properties of solutions of differential equations and recurrence equations with the same characteristic equation (on example of third order linear equations with constant coefficients)
Autorzy:
Mikołajski, J.
Schmeidel, E.
Powiązania:
https://bibliotekanauki.pl/articles/255810.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
differential equation
recurrence
linear
third order
oscillatory solution
bounded solution
Opis:
Third order linear homogeneous differential and recurrence equations with constant coefficients are considered. We take the both equations with the same characteristic equation. We show that these equations (differential and recurrence) can have solutions with different properties concerning oscillation and boundedness. Especially the numbers of suitable types of solutions taken out from fundamental sets are presented. We give conditions under which the asymptotic properties considered are the same for the both equations.
Źródło:
Opuscula Mathematica; 2006, 26, 2; 343-349
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sobolev norm estimates of solutions for the sublinear Emden-Fowler equation
Autorzy:
Kajikiya, R.
Powiązania:
https://bibliotekanauki.pl/articles/255967.pdf
Data publikacji:
2013
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Emden-Fowler equation
sign-changing solution
positive solution
variational method
norm estimate
Opis:
We study the sublinear Emden-Fowler equation in small domains. As the domain becomes smaller, so does any solution. We investigate the convergence rate of the Sobolev norm of solutions as the volume of the domain converges to zero. The result is obtained by estimating the first eigenvalue of the Laplacian with the help of the variational method.
Źródło:
Opuscula Mathematica; 2013, 33, 4; 713-723
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Non-Symmetric Nash and Kalai–Smorodinsky Bargaining Solutions
Autorzy:
Gerchak, Y.
Powiązania:
https://bibliotekanauki.pl/articles/375971.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Nash bargaining solution
Non-Symmetric
Kalai–Smorodinsky Bargaining Solution
supply chain coordination
Opis:
Recently, in some negotiation application areas, the usual assumption that negotiators are symmetric has been relaxed. In particular, weights have been introduced to the Nash Bargaining Solution to reflect the different powers of the players. Yet, we feel that operating with non-symmetric bargaining solutions and their implications is not well understood. We analyze the properties and optimization of the non-symmetric Nash Bargaining Solution and of a non-symmetric Kalai–Smorodinsky Bargaining Solution. We provide extensive comparative statics, then comment on the implications of the concepts in supply chain coordination contexts.
Źródło:
Decision Making in Manufacturing and Services; 2015, 9, 1; 55-61
1896-8325
2300-7087
Pojawia się w:
Decision Making in Manufacturing and Services
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay
Autorzy:
Essel, E. K.
Yankson, E.
Powiązania:
https://bibliotekanauki.pl/articles/255715.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Krasnoselskii
neutral
positive periodic solution
Opis:
We prove that the totally nonlinear second-order neutral differential equation [formula] has positive periodic solutions by employing the Krasnoselskii-Burton hybrid fixed point theorem.
Źródło:
Opuscula Mathematica; 2014, 34, 3; 469-481
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations
Autorzy:
Takei, Y.
Powiązania:
https://bibliotekanauki.pl/articles/255041.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
exact WKB analysis
WKB solution
multisummability
Opis:
Using two concrete examples, we discuss the multisummability of WKB solutions of singularly perturbed linear ordinary differential equations. Integral representations of solutions and a criterion for the multisummability based on the Cauchy-Heine transform play an important role in the proof.
Źródło:
Opuscula Mathematica; 2015, 35, 5; 775-802
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On an evolution inclusion in non-separable Banach spaces
Autorzy:
Cernea, A.
Powiązania:
https://bibliotekanauki.pl/articles/255172.pdf
Data publikacji:
2009
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Lusin measurable multifunctions
selection
mild solution
Opis:
We consider a Cauchy problem for a class of nonconvex evolution inclusions in non-separable Banach spaces under Filippov-type assumptions.We prove the existence of solutions.
Źródło:
Opuscula Mathematica; 2009, 29, 2; 131-138
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The maximum principle for viscosity solutions of elliptic differential functional equations
Autorzy:
Karpowicz, A.
Powiązania:
https://bibliotekanauki.pl/articles/254694.pdf
Data publikacji:
2013
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
maximum principle
viscosity solution
elliptic equations
Opis:
This paper is devoted to the study of the maximum principle for the elliptic equation with a deviated argument. We will consider viscosity solutions of this equation.
Źródło:
Opuscula Mathematica; 2013, 33, 1; 99-105
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation of solutions to non-linear difference equations with several advanced arguments
Autorzy:
Pinelas, S.
Dix, J. G.
Powiązania:
https://bibliotekanauki.pl/articles/255605.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
advanced difference equation
non-oscillatory solution
Opis:
This work concerns the oscillation and asymptotic properties of solutions to the non-linear difference equation with advanced arguments [formula]. We establish sufficient conditions for the existence of positive, and negative solutions. Then we obtain conditions for solutions to be bounded, convergent to positive infinity and to negative infinity and to zero. Also we obtain conditions for all solutions to be oscillatory.
Źródło:
Opuscula Mathematica; 2017, 37, 6; 887-898
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A unique weak solution for a kind of coupled system of fractional Schrodinger equations
Autorzy:
Abdolrazaghi, Fatemeh
Razani, Abdolrahman
Powiązania:
https://bibliotekanauki.pl/articles/255028.pdf
Data publikacji:
2020
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
fractional Laplacian
uniqueness
weak solution
nonlinear system
Opis:
In this paper, we prove the existence of a unique weak solution for a class of fractional systems of Schrodinger equations by using the Minty-Browder theorem in the Cartesian space. To this aim, we need to impose some growth conditions to control the source functions with respect to dependent variables.
Źródło:
Opuscula Mathematica; 2020, 40, 3; 313-322
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uniqueness and parameter dependence of positive doubly periodic solutions of nonlinear telegraph equations
Autorzy:
Graef, J. R.
Kong, L.
Wang, M.
Powiązania:
https://bibliotekanauki.pl/articles/255148.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
telegraph equation
doubly periodic solution
Green's functions
Opis:
The authors study a type of second order nonlinear telegraph equation. The existence and uniqueness of positive doubly periodic solutions are discussed. The parametric dependence of the solutions is also investigated. Two examples are given as applications of the results.
Źródło:
Opuscula Mathematica; 2014, 34, 2; 363-373
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł

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