scholarly journals THEORY OF DIFFERENTIAL INEQUALITIES ASSOCIATED WITH $n$th ORDER NONLINEAR DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS TO THREE POINT BOUNDARY VALUE PROBLEMS

1998 ◽  
Vol 29 (2) ◽  
pp. 137-144
Author(s):  
K. N. MURTHY ◽  
C. V. RAO
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Nonlinear Differential Equations ◽  
Boundary Value ◽  
Differential Inequalities ◽  
Point Boundary ◽  
Uniqueness Of Solutions

Differential inequalities are used as a tool to establish uniqueness of solutions to three point boundary value problems associated with nth order nonlinear differential equations.

scholarly journals On nonlinear discontinuous two-point boundary value problems for third order differential equations

Filomat ◽  
2007 ◽  
Vol 21 (2) ◽  
pp. 185-197
Author(s):  
M.S.N. Murty ◽  
Suresh Kumar
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Extremal Solutions ◽  
Differential Inequalities ◽  
Point Boundary ◽  
Uniqueness Of Solutions ◽  
Third Order

In this paper we prove existence of weak extremal solutions for third order nonlinear discontinuous two-point boundary value problems. Further, we obtain two weak differential inequalities for proving boundedness and uniqueness of solutions of related boundary value problems. .

Sign in / Sign up

Export Citation Format

Share Document