scholarly journals Solvability of boundary value problem for second order impulsive differential equations with one-dimensional p-Laplacian on whole line

2016 ◽  
Vol 21 (5) ◽  
pp. 651-672
Author(s):  
Yuji Liu ◽  
2015 ◽  
Vol 22 (3) ◽  
Author(s):  
Zokha Belattar ◽  
Abdelkader Lakmeche

AbstractIn this work, we investigate the existence of solutions for a class of second order impulsive differential equations using either the implicit function theorem or bifurcation techniques by the mean of Krasnosel'ski theorem.


SeMA Journal ◽  
2021 ◽  
Author(s):  
Rosana Rodríguez-López ◽  
Rakesh Tiwari

AbstractThe aim of this paper is to introduce a new class of mixed contractions which allow to revise and generalize some results obtained in [6] by R. Gubran, W. M. Alfaqih and M. Imdad. We also provide an example corresponding to this class of mappings and show how the new fixed point result relates to the above-mentioned result in [6]. Further, we present an application to the solvability of a two-point boundary value problem for second order differential equations.


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