scholarly journals Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
Liu Yang ◽  
Haibo Chen
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Order ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Impulsive Differential Equations ◽  
Nonlocal Boundary Value Problem

A priori estimate for the solution of a nonlocal boundary value problem for the McKendrick - von Foerster equation of fractional order

2020 ◽  
Vol 20 (1) ◽  
pp. 9-14
Author(s):  
R.Z. Berezgova ◽  
Keyword(s):  
Boundary Value Problem ◽  
Fractional Order ◽  
Boundary Value ◽  
A Priori ◽  
Nonlocal Boundary ◽  
A Priori Estimate ◽  
Time Variable ◽  
Nonlocal Boundary Value Problem ◽  
Priori Estimate

In this paper, by the method of energy inequalities, an a priori estimate for the solution of the nonlocal boundary value problem is obtained for the generalized Mackendrick - von Foerster equation with the Caputo operator with respect to the time variable.

scholarly journals Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations withp-Laplacian

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Jufang Wang ◽  
Changlong Yu ◽  
Yanping Guo
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Positive Solutions ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Laplacian Operator ◽  
Nonlocal Boundary Value Problem ◽  
Second Order Differential Equations ◽  
Equations Of Mixed Type ◽  
Triple Positive Solutions

We establish the existence of triple positive solutions of anm-point boundary value problem for the nonlinear singular second-order differential equations of mixed type with ap-Laplacian operator by Leggett-William fixed point theorem. At last, we give an example to demonstrate the use of the main result of this paper. The conclusions in this paper essentially extend and improve the known results.

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