Results 241 to 250 of about 12,609 (311)

Existence and uniqueness of steady-state solution to a singular coagulation-fragmentation equation

Journal of Computational and Applied Mathematics, 2020
In this article, we prove the existence of an equilibrium solution to the coagulation–fragmentation equation with • [(i)] a singular coagulation kernel in the form K ( x , y ) = ( 1 + x λ + y λ ) ( x y ) σ , where σ ∈ 0 , 1 2 and λ − σ ∈ [ 0 , 1 ] , and •
Debdulal Ghosh, Jitraj Saha, Jitendra Kumar   +2 more
semanticscholar   +1 more source

Existence and uniqueness of positive solutions for fractional relaxation equation in terms of ψ-Caputo fractional derivative

International journal of nonlinear sciences and numerical simulation, 2021
This manuscript is committed to deal with the existence and uniqueness of positive solutions for fractional relaxation equation involving ψ-Caputo fractional derivative.
C. Derbazi, Z. Baitiche, A. Zada
semanticscholar   +1 more source

Existence and uniqueness of solutions of thermo-poroelasticity

Journal of Mathematical Analysis and Applications, 2021
We present results on the existence and uniqueness of a new formulation of wave propagation in linear thermo-poroelastic isotropic media in bounded domains under appropriate boundary and initial conditions.
Juan E. Santos, J. Carcione, J. Ba
semanticscholar   +1 more source

The Existence and Uniqueness of Viscosity Solution to a Kind of Hamilton-Jacobi-Bellman Equation

SIAM Journal of Control and Optimization, 2018
In this paper, we study the existence and uniqueness of viscosity solutions to a kind of Hamilton-Jacobi-Bellman (HJB) equations combined with algebra equations.
Mingshang Hu, Shaolin Ji, Xiaole Xue
semanticscholar   +1 more source

Existence and Uniqueness of Solutions

1992
Recall the inhomogeneous system (I) of k linear equations in n unknowns, which we studied in Chapter 4.4. We consider the case k = n, where the number of equations to be solved equals the number of unknowns, and we shall use our results about bases in ℝ n in the preceding chapter to study the question of existence and uniqueness of solutions of the ...
Thomas Banchoff, John Wermer
openaire   +1 more source

On the Existence and Uniqueness of Solution of MRE and Applications

Methodology and Computing in Applied Probability, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, Yunhui, Limnios, Nikolaos, Schön, Walter   +2 more
openaire   +3 more sources

Existence and uniqueness of solutions of the equations of quasistatic electroporoelasticity

Journal of Computational and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu Hu, Amnon J. Meir
openaire   +1 more source

EXISTENCE AND UNIQUENESS OF A SOLUTION TO AN AEROACOUSTIC MODEL

Chinese Annals of Mathematics, 2002
The authors consider a linear theory of the propagation of three-dimensional aeroacoustic waves near a flexible structure (here a flat membrane). The fluid flow is described by a potential function. Using Steklov eigenvalue analysis, the authors prove the existence and uniqueness of a solution under a seemingly restrictive assumption on the flow ...
Destuynder, Ph., Goût-d'Henin, E.
openaire   +2 more sources

Existence and Uniqueness of Solutions

1990
The purpose of the theory of stellar structure is to explain observed stars as a natural consequence of basic principles of physics. The models necessary for this, however, follow from a mathematical procedure that also produces models which are not realized in nature, for example, because of the initial conditions during star formation, or because of ...
Rudolf Kippenhahn, Alfred Weigert
openaire   +1 more source

On the existence and uniqueness of solutions in adaptive control systems

IEEE Transactions on Automatic Control, 1993
Summary: The issue of existence and uniqueness of solutions, which arises in the analysis of adaptive control systems, is investigated. We give sufficient conditions that guarantee existence and uniqueness in positive time of solutions to differential equations describing a wide class of adaptive schemes.
Polycarpou, Marios M., Ioannou, P. A., Polycarpou, Marios M., Ioannou, P. A.   +3 more
openaire   +4 more sources