0000000000671954

AUTHOR

Adrian Branga

showing 2 related works from this author

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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A remarkable equality referring to spline functions in Hilbert spaces

2010

In the introduction of this paper is presented the definition of the generalized spline functions as solutions of a variational problem and are shown some theorems regarding to the existence and uniqueness. The main result of this article consists in a remarkable equality verified by the generalized spline elements, based on the properties of the spaces, operator and interpolatory set involved, which can be used as a characterization theorem of the generalized spline functions in Hilbert spaces.

Hermite splinePure mathematicsGeneral MathematicsMathematical analysisPerfect splineHilbert spaceMathematics::Numerical AnalysisSpline (mathematics)symbols.namesakesymbolsUniquenessThin plate splineSpline interpolationMathematicsFilomat
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