Second order differential inequalities in the complex plane

1979 ◽  
pp. 301-322 ◽  
Author(s):  
Sanford S. Miller ◽  
Petru T. Mocanu
Keyword(s):  
Complex Plane ◽  
Second Order ◽  
Differential Inequalities

scholarly journals Some differential inequalities in the complex plane

Filomat ◽  
2017 ◽  
Vol 31 (1) ◽  
pp. 29-34
Author(s):  
Mamoru Nunokawa ◽  
Oh Kwon ◽  
Young Sim ◽  
Ji Park ◽  
Nak Cho
Keyword(s):  
Complex Plane ◽  
Convex Functions ◽  
Second Order ◽  
Differential Inequalities ◽  
Differential Subordinations

In the present paper, we obtain some new results by applying well-known Jack?s lemma. Moreover, the second-order differential subordinations associated with convex functions are also considered.

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.

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