On variational impulsive boundary value problems

2012 ◽  
Vol 10 (6) ◽  
Author(s):  
Marek Galewski
Keyword(s):  
Boundary Value Problems ◽  
Variational Approach ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Classical Solutions ◽  
Dirichlet Problems ◽  
Functional Parameters ◽  
Impulsive Boundary Value Problems ◽  
Right Hand

AbstractUsing the variational approach, we investigate the existence of solutions and their dependence on functional parameters for classical solutions to the second order impulsive boundary value Dirichlet problems with L1 right hand side.

Linear second order elliptic equations with Venttsel boundary conditions

1991 ◽  
Vol 118 (3-4) ◽  
pp. 193-207 ◽  
Author(s):  
Yousong Luo ◽  
Neil S. Trudinger
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Existence Result ◽  
Boundary Value ◽  
Second Order ◽  
Classical Solutions ◽  
Schauder Estimate ◽  
Second Order Elliptic Equations

SynopsisWe prove a Schauder estimate for solutions of linear second order elliptic equations with linear Venttsel boundary conditions, and establish an existence result for classical solutions for such boundary value problems.

scholarly journals Boundary value problems for Caputo-Hadamard fractional differential inclusions with Integral Conditions

2020 ◽  
Vol 6 (1) ◽  
pp. 62-75
Author(s):  
Ahmed Zahed ◽  
Samira Hamani ◽  
Johnny Henderson
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Fractional Differential Inclusions ◽  
Integral Conditions ◽  
Right Hand ◽  
Fractional Differential

AbstractFor r ∈ (1, 2], the authors establish sufficient conditions for the existence of solutions for a class of boundary value problem for rth order Caputo-Hadamard fractional differential inclusions satisfying nonlinear integral conditions. Both cases of convex and nonconvex valued right hand sides are considered.

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. 

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