Search results for "existence and uniqueness theorems"

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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Non-standard Problems in an Ordinary Differential Equations Course

2018

International audience; We report first results from a teaching intervention in an ordinary differential equations (ODEs) course for engineering students. Our aim is to challenge traditional approaches to teaching of Existence and Uniqueness Theorems (EUTs) through the design of problems that students cannot solve by applying well-rehearsed techniques or familiar methods. We analyse how the use of nonstandard problems contributes to the development of students' conceptual understanding of EUTs and ODEs.

design researchnon-standard problemsordinary differential equations[SHS.EDU]Humanities and Social Sciences/Education[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO][SHS.EDU] Humanities and Social Sciences/Education[MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO]ComputingMilieux_COMPUTERSANDEDUCATIONmathematical discoursecommognitive theoryexistence and uniqueness theoremsnonstandard problems
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