Boundary value problems associated with first order elliptic systems in the plane

1982 ◽  
pp. 13-48 ◽  
Author(s):  
H. Begehr ◽  
R. P. Gilbert
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Elliptic Systems ◽  
First Order

Riemann-Hilbert-Poincare boundary value problems for general first-order elliptic systems

2010 ◽  
Vol 82 (2) ◽  
pp. 801-802
Author(s):  
M. M. Sirazhudinov ◽  
A. M. Nurmagomedov ◽  
S. D. Umalatov
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Elliptic Systems ◽  
First Order

scholarly journals Singular Integral Operators and Elliptic Boundary-Value Problems. I

2017 ◽  
Vol 63 (1) ◽  
pp. 1-189
Author(s):  
Alexandre P Soldatov
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Integral Operators ◽  
Elliptic Systems ◽  
Elliptic Boundary Value Problems ◽  
Main Role ◽  
Cauchy Type ◽  
Elliptic Boundary Value ◽  
First Order

The book consists of three Parts I-III and Part I is presented here. In this book, we develop a new approach mainly based on the author’s papers. Many results are published here for the first time. Chapter 1 is introductory. The necessary background from functional analysis is given there for completeness. In this book, we mostly use weighted Ho¨lder spaces, and they are considered in Ch. 2. Chapter 3 plays the main role: in weighted Ho¨lder spaces we consider there estimates of integral operators with homogeneous difference kernels, which cover potential-type integrals and singular integrals as well as Cauchy-type integrals and double layer potentials. In Ch. 4, analogous estimates are established in weighted Lebesgue spaces. Integrals with homogeneous difference kernels will play an important role in Part III of the monograph, which will be devoted to elliptic boundary-value problems. They naturally arise in integral representations of solutions of first-order elliptic systems in terms of fundamental matrices or their parametrixes. Investigation of boundary-value problems for second-order and higher-order elliptic equations or systems is reduced to first-order elliptic systems.

Two-Point Boundary Value Problems for First Order Causal Difference Equations

2020 ◽  
Vol 51 (4) ◽  
pp. 1399-1416
Author(s):  
Wen-Li Wang ◽  
Jing-Feng Tian ◽  
Wing-Sum Cheung
Keyword(s):  
Boundary Value Problems ◽  
Difference Equations ◽  
Boundary Value ◽  
Point Boundary ◽  
First Order

scholarly journals Periodic Boundary Value Problems for First-Order Impulsive Functional Integrodifferential Equations with Integral-Jump Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Chatthai Thaiprayoon ◽  
Decha Samana ◽  
Jessada Tariboon
Keyword(s):  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Integrodifferential Equations ◽  
Jump Conditions ◽  
Comparison Result ◽  
First Order ◽  
Monotone Iterative ◽  
Periodic Boundary Value Problems ◽  
Minimal And Maximal Solutions

By developing a new comparison result and using the monotone iterative technique, we are able to obtain existence of minimal and maximal solutions of periodic boundary value problems for first-order impulsive functional integrodifferential equations with integral-jump conditions. An example is also given to illustrate our results.

Sign in / Sign up

Export Citation Format

Share Document