Results 31 to 40 of about 164,099 (264)
A System of Schrödinger’s Problems and Functional Equations
We propose and study a system of Schrödinger's problems and functional equations in probability theory. More precisely, we consider a system of variational problems of relative entropies for probability measures on a Euclidean space with given two endpoint marginals, which can be defined inductively.
Toshio Mikami, Jin Feng
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This article focuses on describing the entire solutions of complex nonlinear partial differential equation (systems) with two variables. Utilizing Nevanlinna theory along with the Hadamard factorization theory of meromorphic functions, we derive several ...
Chen Yu Bin, Jiao Xin, Xu Hong Yan
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ABSTRACT Background Patients with chronic kidney disease undergoing hemodialysis commonly experience reduced physical function, fatigue, poor sleep quality, and impaired health‐related quality of life. Intradialytic exercise has been proposed as a non‐pharmacological strategy to improve these outcomes.
Klebson da Silva Almeida +6 more
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Study on solutions of the systems of complex product-type PDEs with more general forms in ℂ2
With the help of the Nevanlinna theory and the Hadamard factorization theory of meromorphic functions, we mainly give a description of the existence and the forms of the transcendental entire solutions of several product-type complex partial differential
Li Hong, Luo Zhao Sheng, Xu Hong Yan
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Impulsive Control Strategy for a Nonautonomous Food-Chain System with Multiple Delays
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
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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On the Asymptotic Equivalence of Ordinary and Functional Stochastic Differential Equations
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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Diversity and complexity in neural organoids
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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This article is devoted to describing the entire solutions of several systems of the first-order nonlinear partial differential difference equations (PDDEs).
Jiao Xin, Chen Yu Bin, Xu Hong Yan
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ON SOLUTIONS OF SOME SYSTEM OF FUNCTIONAL EQUATIONS
The author gives the general solution in certain classes of functions for a system of functional equations which appears when some semigroups of the group \(L^1_4\) are determined. Here the study, started by the author himself in some previous papers, is continued.
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