Search results for " gauge spaces"

showing 2 items of 2 documents

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

2020

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.

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 solutionsMathematicsMathematics
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Fixed-Point Theorems in Complete Gauge Spaces and Applications to Second-Order Nonlinear Initial-Value Problems

2013

We establish fixed-point results for mappings and cyclic mappings satisfying a generalized contractive condition in a complete gauge space. Our theorems generalize and extend some fixed-point results in the literature. We apply our obtained results to the study of existence and uniqueness of solution to a second-order nonlinear initial-value problem.

Discrete mathematicsPure mathematicsArticle Subjectlcsh:MathematicsFixed-point theoremGauge (firearms)Space (mathematics)lcsh:QA1-939Nonlinear systemSettore MAT/05 - Analisi MatematicaInitial value problemOrder (group theory)UniquenessCoincidence pointfixed point gauge spaces initial-value problemAnalysisMathematics
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