On the Existence of Positive Solutions for the Time-Scale Dynamic Equations on Infinite Intervals
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Date
2020
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Springer
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Green Open Access
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Abstract
This paper investigates the existence of positive solutions to time-scale boundary value problems on infinite intervals. By applying the Leggett-Williams fixed point theorem in a cone, some new results for the existence of at least three positive solutions of boundary value problems are found. With infinite intervals, the theorem can be used to prove the existence of solutions of boundary value problems for nonlinear dynamic equations dependence on the delta derivative explicitly. Our results are new for the special cases of difference equations and differential equations as well as in the general time scale setting. © 2020 Elsevier B.V., All rights reserved.
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Keywords
Dynamic Equations, Fixed Point Theorems, Infinite Intervals, Positive Solutions, Time Scales, Boundary Value Problems, Difference Equations, Fixed Point Arithmetic, Time Measurement, Delta Derivatives, Dynamic Equations, Existence of Solutions, Infinite Interval, Leggett Williams Fixed Point Theorem, Non-Linear Dynamic Equations, Positive Solution, Time-Scale Boundary, Nonlinear Equations
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Q4
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1
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Springer Proceedings in Mathematics and Statistics
Volume
333
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1
End Page
10
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Scopus : 1
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1
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