Results 1 to 10 of about 920,770 (191)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 This paper deals with the existence, uniqueness and iterative approximations of solutions for the functional equations and system of functional equations arising in dynamic programming of multistage decision making processes in Banach spaces and complete
Deepmala, Agarwal Ravi P.
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On the almost sure running maxima of solutions of affine stochastic functional differential equations [PDF]
, 2010 This paper studies the large fluctuations of solutions of scalar and finite-dimensional affine stochastic functional differential equations with finite memory as well as related nonlinear equations.
Appleby, John A.D., Mao, Xuerong, Wu, H.
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Characterizations of derivations [PDF]
, 2019 The main purpose of this work is to characterize derivations through functional equations. This work consists of five chapters. In the first one, we summarize the most important notions and results from the theory of functional equations. In Chapter 2 we
Gselmann, Eszter
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Karpatsʹkì Matematičnì Publìkacìï, 2013 The article shows that the system of the functional equations $S(x+y)=S(x)C(y)+S(y)C(x),\,C(x+y)=C(x)C(y)-S(y)S(x)$ denes a broader class of the functions than the trigonometric equations.
Е. V. Velichko, I. G. Tkachenko
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On a system of functional equations
Aequationes Mathematicae, 1985 Motivated by the theory of generalized Appel sequences when looking for the square roots of the Laguerre sequence, the authors study the system of functional equations (1) \(H(H(t))=t/(t-1)\); (2) \(G(t)G(H(t))=(1- t)^{-\alpha -1}\), \(\alpha >-1\), in the class of formal power series (3) \(H(t)=\sum^{\infty}_{k=1}h_ kt^ k\), \(G(t)=\sum^{\infty}_{k=0 ...
Kuczma, Marek, Choczewski, Bogdan
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Weak Solutions of a Coupled System of Urysohn-Stieltjes Functional (Delayed) Integral Equations
Complexity, 2018 We study the existence of weak solutions for the coupled system of functional integral equations of Urysohn-Stieltjes type in the reflexive Banach space E.
A. M. A. El-Sayed, M. M. A. Al-Fadel
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On the Asymptotic Equivalence of Ordinary and Functional Stochastic Differential Equations
Journal of Optimization, Differential Equations and Their Applications, 2023 This paper studies the asymptotic behavior of solutions of linear stochastic functional-differential equations. This behavior is investigated using the method of asymptotic equivalence, according to which an ordinary system of linear differential ...
Olexandr M. Stanzhytskyi +2 more
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Mathematical analysis of a one-dimensional model for an aging fluid
, 2012 We study mathematically a system of partial differential equations arising in the modelling of an aging fluid, a particular class of non Newtonian fluids.
Benoit, David +3 more
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Impulsive Control Strategy for a Nonautonomous Food-Chain System with Multiple Delays
Journal of Control Science and Engineering, 2016 A nonautonomous food-chain system with Holling II functional response is studied, in which multiple delays of digestion are also considered. By applying techniques in differential inequalities, comparison theorem in ordinary differential equations ...
Baodan Tian, Yanhong Qiu, Yucai Ding
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Bounder solution on a strip to a system of nonlinear hyperbolic equations with mixed derivatives
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 The system of nonlinear hyperbolic equations with mixed derivatives is considered on the strip. Time variable of the unknown function changes on the whole axis, and the spatial variable belongs to a finite interval.
D.S. Dzhumabaev, S.M. Temesheva
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