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Date Published: 31/08/2022
Online Published: 31/08/2022
Abstract Views: 124
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DOI: https://doi.org/10.54607/hcmue.js.19.8.3560(2022)
Issue
Vol. 19 No. 8 (2022)
Section
Natural Sciences and Technology
How to Cite
Nguyễn , Đ. Q. (2022). SOLUTIONS IN CONES OF MULTIVALUED OPERATORS AND APPLICATION TO A DIFFERENTIAL INCLUSION WITH MULTIPOINT BOUNDARY CONDITIONS. HCMUE Journal of Science, 19(8), 1371. https://doi.org/10.54607/hcmue.js.19.8.3560(2022)

SOLUTIONS IN CONES OF MULTIVALUED OPERATORS AND APPLICATION TO A DIFFERENTIAL INCLUSION WITH MULTIPOINT BOUNDARY CONDITIONS

Đăng Quang Nguyễn

Main Article Content

Abstract

The fixed point index theory for multivalued mappings in ordered Banach spaces has provided a new and effective tool in studying the differential and eigenvalue problems of multivalued mappings. In this paper, we use the fixed point index to prove the general theorems about the existence of solutions in cones of the inclusions  for some multivalued mapping classes A acting in ordered spaces. We also study the asymptotic behavior of the solution when . These results are applied in studying positive solutions of the second-order differential inclusion  with multipoint boundary conditions   . The results obtained in the paper have extended some existing studies in the case of equations to the case involving the inclusions.

 

Keywords

eigenvalues, fixed point index, inclusions second-order differential, multipoint boundary conditions, multivalued mapping, solutions in cones

Article Details

References

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