6533b82afe1ef96bd128cbe8

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An Application of the Fixed Point Theory to the Study of Monotonic Solutions for Systems of Differential Equations

Ion Marian OlaruAdrian Branga

subject

Differential equationfixed point theorylcsh:MathematicsGeneral Mathematics010102 general mathematicsMathematical analysisFixed-point theoremMonotonic functionGauge (firearms)Fixed pointlcsh:QA1-939sequentially complete gauge spaces.01 natural sciences010101 applied mathematicsLinear differential equationComputer Science (miscellaneous)systems of differential equationsexistence and uniqueness theoremsUniqueness0101 mathematicsEngineering (miscellaneous)monotonic solutionsMathematics

description

In this paper, we establish some conditions for the existence and uniqueness of the monotonic solutions for nonhomogeneous systems of first-order linear differential equations, by using a result of the fixed points theory for sequentially complete gauge spaces.

yearjournalcountryeditionlanguage
2020-07-18Mathematics
https://doi.org/10.3390/math8071183