NEW RESULTS ON K- STABILITY AND BOUNDEDNESS OF SOLUTIONS OF A CERTAIN DIFFERENTIAL EQUATIONS IN BANACH SPACES INTERACTING WITH WEAKLY SUBSYSTEMS

E. P. EBIENDELE; F. U. NOSAKHARE; A. A. MOMOH

doi:10.56557/ajomcor/2022/v29i47986

NEW RESULTS ON K- STABILITY AND BOUNDEDNESS OF SOLUTIONS OF A CERTAIN DIFFERENTIAL EQUATIONS IN BANACH SPACES INTERACTING WITH WEAKLY SUBSYSTEMS

E. P. EBIENDELE

F. U. NOSAKHARE

A. A. MOMOH

Asian Journal of Mathematics and Computer Research, Page 1-12
DOI: 10.56557/ajomcor/2022/v29i47986
Published: 20 December 2022

Abstract

The article gives new results of K- Stability and Boundedness of solutions of certain differential equations in Banach Spaces interacting with weakly subsystems. Some results from the theory of semigroups, and the description of the general method of solution of the posed problem were also given. The application of the matrix – valued Lyapunov function is discussed and the main theorem of the method is formulated for differential equations in a Banach Space. The vector Lyapunov function was the main tool applied for the analysis of K – Stability and Boundedness of a system in Banach Spaces. All the results of this Article for the ‘equation (2.2)’ are essentially new.

Keywords:

New results
k- stability
bounded solutions
weakly systems
differential equations

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How to Cite

EBIENDELE, E. P., NOSAKHARE, F. U., & MOMOH, A. A. (2022). NEW RESULTS ON K- STABILITY AND BOUNDEDNESS OF SOLUTIONS OF A CERTAIN DIFFERENTIAL EQUATIONS IN BANACH SPACES INTERACTING WITH WEAKLY SUBSYSTEMS. Asian Journal of Mathematics and Computer Research, 29(4), 1-12. https://doi.org/10.56557/ajomcor/2022/v29i47986

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