Volterra integral equations on unbounded time scales

Andrejs Reinfelds; Shraddha Christian

doi:10.37622/IJDE/14.2.2019.169-177

Volterra integral equations on unbounded time scales

Andrejs Reinfelds
, Shraddha Christian

Matemātikas nodaļa

University of Latvia

Zinātniskās darbības rezultāts: Devums žurnālam › Zinātniskais raksts (žurnālā) › koleģiāli recenzēts

10 Atsauces (Scopus)

Kopsavilkums

This paper introduces a more general result on existence, uniqueness and boundedness for solutions of nonlinear Volterra integral equation on time scales. We use Lipschitz type function, which can be an unbounded, and the Banach fixed point theorem at appropriate functional space. Furthermore it allows to get new sufficient conditions for boundedness of solutions.

45D05,

Oriģinālvaloda	Angļu
Lapas (no-līdz)	169-177
Lapu skaits	9
Žurnāls	International Journal of Difference Equations
Sējums	14
Izdevuma numurs	2
DOIs	https://doi.org/10.37622/IJDE/14.2.2019.169-177
Publikācijas statuss	Publicēts - 2019

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KW - Bounded Solution

KW - Volterra Integral Equation On Time Scales

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Volterra integral equations on unbounded time scales

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