scholarly journals On uniqueness of solutions to martingale problems — counterexamples and sufficient criteria

2020 ◽  
Vol 25 (0) ◽  
Author(s):  
Jan Kallsen ◽  
Paul Krühner
Keyword(s):  
Uniqueness Of Solutions ◽  
Martingale Problems

scholarly journals Resolvent Estimates for Fleming-Viot Operators and Uniqueness of Solutions to Related Martingale Problems

1995 ◽  
Vol 132 (2) ◽  
pp. 417-472 ◽  
Author(s):  
D.A. Dawson ◽  
P. March
Keyword(s):  
Resolvent Estimates ◽  
Uniqueness Of Solutions ◽  
Martingale Problems

Existence and Uniqueness of Solutions for a Partially Observed Stochastic Control Problem

2019 ◽  
Author(s):  
Alain Bensoussan ◽  
Metin Cakanyildirim ◽  
Meng Li ◽  
Suresh Sethi
Keyword(s):  
Control Problem ◽  
Stochastic Control ◽  
Existence And Uniqueness ◽  
Uniqueness Of Solutions ◽  
Stochastic Control Problem ◽  
Partially Observed

Uniqueness of solutions of some elliptic equations without condition at infinity

2002 ◽  
Vol 335 (9) ◽  
pp. 739-744 ◽  
Author(s):  
Alessio Porretta
Keyword(s):  
Elliptic Equations ◽  
Uniqueness Of Solutions

Integral Representations for the Solution of Dynamic Bending of a Plate with Displacement-Traction Boundary Data

2003 ◽  
Vol 10 (3) ◽  
pp. 467-480
Author(s):  
Igor Chudinovich ◽  
Christian Constanda
Keyword(s):  
Existence And Uniqueness ◽  
Boundary Data ◽  
Boundary Integral Equations ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Boundary Integral ◽  
Integral Representations ◽  
Transverse Shear Deformation ◽  
Uniqueness Of Solutions ◽  
Nonstationary Boundary

Abstract The existence of distributional solutions is investigated for the time-dependent bending of a plate with transverse shear deformation under mixed boundary conditions. The problem is then reduced to nonstationary boundary integral equations and the existence and uniqueness of solutions to the latter are studied in appropriate Sobolev spaces.

scholarly journals Existence and uniqueness of positive solutions for nonlinear fractional mixed problems

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Alberto Cabada ◽  
Om Kalthoum Wanassi
Keyword(s):  
Existence And Uniqueness ◽  
Fixed Point Theory ◽  
Mixed Boundary ◽  
Point Theory ◽  
Uniqueness Of Solutions ◽  
Nonlinear Part ◽  
Banach Contraction ◽  
Fractional Differential ◽  
Exhaustive Study ◽  
The Banach Contraction Principle

Abstract This paper is devoted to study the existence and uniqueness of solutions of a one parameter family of nonlinear Riemann–Liouville fractional differential equations with mixed boundary value conditions. An exhaustive study of the sign of the related Green’s function is carried out. Under suitable assumptions on the asymptotic behavior of the nonlinear part of the equation at zero and at infinity, and by application of the fixed point theory of compact operators defined in suitable cones, it is proved that there exists at least one solution of the considered problem. Moreover, the method of lower and upper solutions is developed and the existence of solutions is deduced by a combination of both techniques. In particular cases, the Banach contraction principle is used to ensure the uniqueness of solutions.

scholarly journals Stability Analysis and Existence of Solutions for a Modified SIRD Model of COVID-19 with Fractional Derivatives

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1431
Author(s):  
Bilal Basti ◽  
Nacereddine Hammami ◽  
Imadeddine Berrabah ◽  
Farid Nouioua ◽  
Rabah Djemiat ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Existence And Uniqueness ◽  
Fractional Derivatives ◽  
Fixed Point Theorems ◽  
Existence Of Solutions ◽  
Biological Models ◽  
Uniqueness Of Solutions ◽  
Caputo Fractional Derivatives ◽  
Single Form ◽  
Stability Results

This paper discusses and provides some analytical studies for a modified fractional-order SIRD mathematical model of the COVID-19 epidemic in the sense of the Caputo–Katugampola fractional derivative that allows treating of the biological models of infectious diseases and unifies the Hadamard and Caputo fractional derivatives into a single form. By considering the vaccine parameter of the suspected population, we compute and derive several stability results based on some symmetrical parameters that satisfy some conditions that prevent the pandemic. The paper also investigates the problem of the existence and uniqueness of solutions for the modified SIRD model. It does so by applying the properties of Schauder’s and Banach’s fixed point theorems.

Existence and weak–strong uniqueness of solutions to the Cahn–Hilliard–Navier–Stokes–Darcy system in superposed free flow and porous media

2021 ◽  
Vol 211 ◽  
pp. 112411
Author(s):  
Daozhi Han ◽  
Xiaoming He ◽  
Quan Wang ◽  
Yanyun Wu
Keyword(s):  
Porous Media ◽  
Free Flow ◽  
Navier Stokes ◽  
Strong Uniqueness ◽  
Uniqueness Of Solutions
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