Fixed Point Theory in Stability and Boundedness

Youssef N. Raffoul
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Youssef N. Raffoul: University of Dayton, Department of Mathematics

Chapter Chapter 3 in Qualitative Theory of Volterra Difference Equations, 2018, pp 93-162 from Springer

Abstract: Abstract In the past hundred and fifty years, Lyapunov functions/functionals have been exclusively and successfully used in the study of stability and existence of periodic and bounded solutions. The author has extensively used Lyapunov functions/functionals for the purpose of analyzing solutions of functional equations, and each time the suitable Lyapunov functional presented us with unique difficulties, that could only overcome by the imposition of severe conditions on the given coefficients.

Date: 2018
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DOI: 10.1007/978-3-319-97190-2_3

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