TY - JOUR
T1 - On first return path systems
AU - Alikhani-Koopaei, Aliasghar
N1 - Funding Information:
Key Words: first-return, path systems, path derivatives, intersection conditions. Mathematical Reviews subject classification: Primary 26A21; Secondary 26A24 Received by the editors July 1, 2004 Communicated by: Richard J. O’Malley ∗The work was partially supported through a Research and Developments Grant from Berks-Lehigh Valley College of the Pennsylvania State University
PY - 2006
Y1 - 2006
N2 - It is known that for a first return system of paths (Rx: x ∈ [0, 1]) the right path systems R+ ( the left path system R-) is right ( is left ) continuous and R satisfies I.I.C. property. In this paper we consider path systems that are continuous and satisfy I.I.C. and investigate the possibility of containing first return path systems. We also study the effect of turbulence on trajectories by treating them as sequences.
AB - It is known that for a first return system of paths (Rx: x ∈ [0, 1]) the right path systems R+ ( the left path system R-) is right ( is left ) continuous and R satisfies I.I.C. property. In this paper we consider path systems that are continuous and satisfy I.I.C. and investigate the possibility of containing first return path systems. We also study the effect of turbulence on trajectories by treating them as sequences.
UR - http://www.scopus.com/inward/record.url?scp=85032571367&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85032571367&partnerID=8YFLogxK
U2 - 10.14321/realanalexch.31.1.0271
DO - 10.14321/realanalexch.31.1.0271
M3 - Article
AN - SCOPUS:85032571367
SN - 0147-1937
VL - 31
SP - 271
EP - 284
JO - Real Analysis Exchange
JF - Real Analysis Exchange
IS - 1
ER -