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SOLUTION APPROXIMATIONS FOR LYAPUNOV TYPE EQUATIONS ASSOCIATED WITH LINEAR STOCHASTIC EQUATIONS WITH UNBOUNDED COEFFICIENTS AND COUNTABLY INFINITE MARKOV JUMPS [PDF]

Fiabilitate şi Durabilitate, 2018
This paper discuses solution properties of the Lyapunov-type equations (LEs), associated with a class of linear stochastic equations with unbounded coefficients and countably infinite Markov jumps.
Iuliana Carmen BĂRBĂCIORU, Viorica Mariela UNGUREANU   +1 more
doaj  

Delay differential equations with homogeneous integral conditions

Electronic Journal of Differential Equations, 2013
In this article we prove the existence and uniqueness of a strong solution of a delay differential equation with homogenous integral conditions using the method of semidiscretization in time.
Abdur Raheem, Dhirendra Bahuguna
doaj  

Solution Operators for Caputo-Type Fractional Evolution Equations with Damping

Axioms
This paper investigates an abstract fractional Cauchy problem with damping formulated in the sense of the Caputo derivative, where the derivative orders satisfy ...
Ting-Ting Hu, Shi-You Lin, Zhi-Chao Lu
doaj   +1 more source

Decay rate of strong solutions to compressible Navier-Stokes-Poisson equations with external force

Electronic Journal of Differential Equations, 2019
In this article, we consider the three dimensional compressible Navier-Stokes-Poisson equations with the effect of external potential force. First, the stationary solution is established by solving a nonlinear elliptic system.
Yeping Li, Nengqiu hang
doaj  

Boundary-value problems for wave equations with data on the whole boundary

Electronic Journal of Differential Equations, 2016
In this article we propose a new formulation of boundary-value problem for a one-dimensional wave equation in a rectangular domain in which boundary conditions are given on the whole boundary.
Makhmud A. Sadybekov, Nurgissa A. Yessirkegenov   +1 more
doaj  

Strong solutions of quasilinear integro-differential equations with singular kernels in several space dimensions

Electronic Journal of Differential Equations, 1995
$$ u_t - a*A(u) = f,,$$ where $a$ is a scalar singular integral kernel that behaves like $t^{-alpha}$, $1/2 leq alpha < 1$ and $A$ is a second order quasilinear elliptic operator in divergence form, solutions are found for which $A(u)$ is integrable over
Hans Engler
doaj  

Existence of a strong solution to moist atmospheric equations with the effects of topography

Boundary Value Problems, 2020
In this paper, we consider the primitive three-dimensional viscous equations for large-scale atmosphere dynamics with topography effects and water vapor phase transition process.
Ruxu Lian, Jieqiong Ma
doaj   +1 more source

Global well-posedness to the incompressible Navier–Stokes equations with damping

Electronic Journal of Qualitative Theory of Differential Equations, 2017
We study the Cauchy problem of the 3D Navier–Stokes equations with nonlinear damping term $\alpha|\mathbf{u}|^{\beta-1}\mathbf{u}\ (\alpha>0\ \text{and}\ \beta\geq1)$. It is shown that the strong solution exists globally for any $\beta\geq1$.
Xin Zhong
doaj   +1 more source

Strongly solved Ostle: calculating a strong solution helps compose high-quality puzzles for recent games. [PDF]

PeerJ Comput Sci, 2023
Takizawa H.
europepmc   +1 more source

Existence of the classical and strong solutions for fractional semilinear initial value problems

Boundary Value Problems, 2018
We prove the existence and uniqueness of classical and strong solutions of a fractional semilinear evolution equation using the method of a semigroup and the Banach fixed theorem.
A. Al-Omari, H. Al-Saadi
doaj   +1 more source