scholarly journals Optimization of the Bolza problem with second order differential inequalities,

2018 ◽  
Vol 2018 (1) ◽  
Keyword(s):  
Second Order ◽  
Differential Inequalities ◽  
Bolza Problem

scholarly journals Focal Subfunctions and Second Order Differential Inequalities

1991 ◽  
Vol 21 (3) ◽  
pp. 1127-1141 ◽  
Author(s):  
S. Umamaheswaram ◽  
M. Venkata Rama
Keyword(s):  
Second Order ◽  
Differential Inequalities

8.—On Second-order Differential Inequalities

1974 ◽  
Vol 72 (2) ◽  
pp. 109-127 ◽  
Author(s):  
F. V. Atkinson
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Second Order ◽  
Differential Inequalities ◽  
Existence Of Positive Solutions ◽  
Image Position

SynopsisThis paper is devoted to a study of differential equations and inequalities of the formandThe results are mainly concerned with the existence of positive solutions, their uniqueness in the case of (*), and bounds for these solutions.

A priori estimates of solutions of nonlinear boundary value problems for singular in a phase variable second order differential inequalities

2014 ◽  
Vol 21 (2) ◽  
Author(s):  
Ivan Kiguradze
Keyword(s):  
A Priori Estimates ◽  
A Priori ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Second Order ◽  
Phase Variable ◽  
Differential Inequalities ◽  
Nonlinear Boundary Value Problems ◽  
Estimates Of Solutions ◽  
Priori Estimates

Abstract.For singular in a phase variable second order differential inequalities, a priori estimates of positive solutions, satisfying nonlinear nonlocal boundary conditions, are established.

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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