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Nontrivial Solutions for the Polyharmonic Problem: Existence, Multiplicity and Uniqueness
The authors consider the existence, multiplicity, and uniqueness for polyharmonic problem with Navier boundary conditions. One of the interesting...
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Existence and Uniqueness Theorems for the Pfaff Equation with Continuous Coefficients
In this paper, the Pfaff equations with continuous coefficients are considered. Analogs of Peano’s existence theorem and Kamke’s theorem on the...
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Positive Solutions for Biharmonic Equations: Existence, Uniqueness and Multiplicity
The primary objective of this article is to consider a class of biharmonic equations with Navier boundary conditions. Among others, a new criterion...
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Existence and Uniqueness of Denumerable Markov Processes with Instantaneous States
Based on the resolvent decomposition theorems presented very recently by Chen (J Theor Probab 33:2089–2118, 2020), in this paper we focus on...
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Existence and Uniqueness of Maximal Elements for Preference Relations: Variational Approach
In this work, we reformulate the problem of existence of maximal elements for preference relations as a variational inequality problem in the sense...
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Inverse Problems for Kelvin–Voigt System with Memory: Global Existence and Uniqueness
AbstractThis paper deals with the global unique solvability of two inverse problems for Kelvin–Voigt system with memory that governs the flow of...
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Existence, uniqueness and stability for a nonlinear problem arising from stratified arctic gyres
In this paper, we derive a nonlinear model for stratified arctic gyres, and prove several results on the existence, uniqueness and stability of...
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Existence and Uniqueness of Periodic Solutions for a Class of Higher Order Differential Equations
In this paper, we study the existence, non-existence and uniqueness of periodic solutions for a class of higher order differential equations. The...
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Local Existence and Uniqueness of Strong Solution to the Inhomogeneous Primitive Equations with Vacuum
In this paper, we establish the existence and uniqueness of the local strong solution to the Cauchy problem of the inhomogeneous incompressible...
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A theoretical investigation of Caputo variable order fractional differential equations: existence, uniqueness, and stability analysis
This paper deals with the analysis of Caputo variable order fractional differential equations. The main objective of the paper is to investigate the...
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Piecewise conformable fractional impulsive differential system with delay: existence, uniqueness and Ulam stability
Ideally, the state variable follows a constant motion law over time. However, due to the finiteness of motion speed, almost all systems have time...
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The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives
In this article, we use coupled boundary conditions on a nonlinear system with ψ -Caputo fractional derivatives to derive new conclusions on the...
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Existence and uniqueness of maximal solutions to SPDEs with applications to viscous fluid equations
We present two criteria for the existence and uniqueness of a maximal strong solution for a general class of stochastic partial differential...
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The existence and uniqueness of time-periodic solutions to the non-isothermal model for compressible nematic liquid crystals in a periodic domain
In this paper, we are concerned with a three-dimensional non-isothermal model for the compressible nematic liquid crystal flows in a periodic domain....
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Existence, uniqueness and regularity for a semilinear stochastic subdiffusion with integrated multiplicative noise
We investigate a semilinear stochastic time-space fractional subdiffusion equation driven by fractionally integrated multiplicative noise. The...
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Existence and Uniqueness of the Classical Solution of the First Boundary Value Problem for Parabolic Systems on the Plane
AbstractWe consider the first boundary value problem for uniformly parabolic systems of the second order with one spatial variable in bounded and...