On time-periodic solutions to parabolic boundary value problems
نویسندگان
چکیده
منابع مشابه
Periodic Boundary Value Problems on Time Scales
We extend the results concerning periodic boundary value problems from the continuous calculus to time scales. First we use the Schauder fixed point theorem and the concept of lower and upper solutions to prove the existence of the solutions and then we investigate a monotone iterative method which could generate some of them. Since this method does not work on each time scale, a condition cont...
متن کاملExistence of Solutions to First-Order Periodic Boundary Value Problems
This article investigates the existence of solutions to boundary value problems (BVPs) involving systems of first-order ordinary differential equations and two-point, periodic boundary conditions. The methods involve novel differential inequalities and fixed-point theory to yield new theorems guaranteeing the existence of at least one solution. AMS 2000 Classification: 34B15
متن کاملExistence of solutions of boundary value problems for Caputo fractional differential equations on time scales
In this paper, we study the boundary-value problem of fractional order dynamic equations on time scales, $$ ^c{Delta}^{alpha}u(t)=f(t,u(t)),;;tin [0,1]_{mathbb{T}^{kappa^{2}}}:=J,;;1
متن کاملFunctional A Posteriori Error Estimates for Parabolic Time-Periodic Boundary Value Problems
The paper is concerned with parabolic time-periodic boundary value problems which are of theoretical interest and arise in different practical applications. The multiharmonic finite element method is well adapted to this class of parabolic problems. We study properties of multiharmonic approximations and derive guaranteed and fully computable bounds of approximation errors. For this purpose, we...
متن کاملBoundary value problems and periodic solutions for semilinear evolution inclusions
We consider boundary value problems for semilinear evolution inclusions. We establish the existence of extremal solutions. Using that result, we show that the evolution inclusion has periodic extremal trajectories. These results are then applied to closed loop control systems. Finally, an example of a semilinear parabolic distributed parameter control system is worked out in detail.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2018
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-018-1721-9