Opuscula Math. 33, no. 2 (2013), 323-335
http://dx.doi.org/10.7494/OpMath.2013.33.2.323
Opuscula Mathematica
Random integral equations on time scales
Vasile Lupulescu
Cristina Lungan
Abstract. In this paper, we present the existence and uniqueness of random solution of a random integral equation of Volterra type on time scales. We also study the asymptotic properties of the unique random solution.
Keywords: random integral equations, time scale, existence, uniqueness, stability.
Mathematics Subject Classification: 34N05, 45D05, 45R99.
- Vasile Lupulescu
- Constantin Brancusi University, Targu-Jiu, Romania
- Cristina Lungan
- Gheorghe Tatarascu School of Targu Jiu, 23 August 47, Romania
- Received: 2012-03-23.
- Revised: 2012-08-16.
- Accepted: 2012-10-11.