Boundary Value Problems for a Second-Order Elliptic-Type Operator Differential Equation

1991 ◽  
pp. 201-256
Author(s):  
V. I. Gorbachuk ◽  
M. L. Gorbachuk
Keyword(s):  
Differential Equation ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Second Order ◽  
Type Operator ◽  
Elliptic Type ◽  
Operator Differential Equation

scholarly journals Semi-nonoscillation intervals and sign-constancy of Green’s functions of two-point impulsive boundary-value problems

2021 ◽  
Vol 73 (7) ◽  
pp. 887-901
Author(s):  
A. Domoshnitsky ◽  
Iu. Mizgireva ◽  
V. Raichik
Keyword(s):  
Differential Equation ◽  
Boundary Value Problems ◽  
Impulsive Differential Equation ◽  
Green's Functions ◽  
Green’S Functions ◽  
Boundary Value ◽  
Homogeneous Equation ◽  
Second Order ◽  
Differential Inequalities ◽  
Impulsive Boundary Value Problems

UDC 517.9 We consider the second order impulsive differential equation with delays    where for  In this paper, we obtain the conditions of semi-nonoscillation for the corresponding homogeneous equation on the interval   Using these results, we formulate theorems on sign-constancy of Green's functions for two-point impulsive boundary-value problems in terms of differential inequalities. 

scholarly journals On non-elliptic boundary problems

1982 ◽  
Vol 86 ◽  
pp. 1-38
Author(s):  
Yoshio Kato
Keyword(s):  
Differential Equation ◽  
Boundary Value Problems ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Second Order ◽  
Elliptic Differential Equation ◽  
Boundary Problems

The purpose of this paper is to study the boundary value problems for the second order elliptic differential equation

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