Existence of positive solutions to impulsive nonlinear differential systems of second order with two-point boundary conditions

Authors

  • Halima KADARI Laboratory of Mathematics, University of Sidi Bel-Abbès, Sidi Bel-Abbès, Algeria. Email: kadari23halima@gmail.com.
  • Abderrahmane OUMANSOUR Laboratory of Mathematics, University of Sidi Bel-Abbès, Sidi Bel-Abbès, Algeria. Email: a_oumansour@yahoo.fr. https://orcid.org/0000-0002-7544-8323
  • John R. GRAEF Department of Mathematics, University of Tennessee at Chattanooga, Tennessee, United States. Email: John-Graef@utc.edu. https://orcid.org/0000-0002-8149-4633
  • Abdelghani OUAHAB Laboratory of Mathematics, University of Sidi Bel-Abbès, Sidi Bel-Abbès, Algeria. Email: agh_ouahab@yahoo.fr. https://orcid.org/0000-0002-4639-2092

DOI:

https://doi.org/10.24193/subbmath.2024.3.10

Keywords:

Two-point boundary values problems, impulsive problems, Krasnosel’skii’s fixed point theorem, positive solutions

Abstract

In this paper the authors consider the existence of positive solutions to a two point boundary value problem for nonlinear second-order impulsive systems. They use a vector version of Krasnosel’ skii’s fixed point theorem in cones in their proofs. Examples are provided to illustrate the results.

Mathematics Subject Classification (2010): 47H10, 47H07, 34B18, 34C25.

Received 01 August 2022; Accepted 16 January 2023.

References

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Published

2024-09-23

How to Cite

KADARI, H. ., OUMANSOUR, A. ., GRAEF, J. R. ., & OUAHAB, A. . (2024). Existence of positive solutions to impulsive nonlinear differential systems of second order with two-point boundary conditions. Studia Universitatis Babeș-Bolyai Mathematica, 69(3), 639–649. https://doi.org/10.24193/subbmath.2024.3.10

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