| HILSCHER, Roman a Christopher C. TISDELL. Terminal value problems for first and second order nonlinear equations on time scales. Electronic Journal of Differential Equations. San Marcos, TX 78666, USA: Texas State University - San Marcos, roč. 2008, č. 68, s. 1-21. ISSN 1072-6691. 2008. |
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@article{765401,
author = {Hilscher, Roman and Tisdell, Christopher C.},
article_location = {San Marcos, TX 78666, USA},
article_number = {68},
keywords = {Time scale; terminal value problem; nonlinear equation; Banach fixed point theorem; bounded solution; weighted norm},
language = {eng},
issn = {1072-6691},
journal = {Electronic Journal of Differential Equations},
title = {Terminal value problems for first and second order nonlinear equations on time scales},
url = {http://ejde.math.txstate.edu/Volumes/2008/68/abstr.html},
volume = {2008},
year = {2008}
}
TY - JOUR
ID - 765401
AU - Hilscher, Roman - Tisdell, Christopher C.
PY - 2008
TI - Terminal value problems for first and second order nonlinear equations on time scales
JF - Electronic Journal of Differential Equations
VL - 2008
IS - 68
SP - 1-21
EP - 1-21
PB - Texas State University - San Marcos
SN - 10726691
KW - Time scale
KW - terminal value problem
KW - nonlinear equation
KW - Banach fixed point theorem
KW - bounded solution
KW - weighted norm
UR - http://ejde.math.txstate.edu/Volumes/2008/68/abstr.html
N2 - In this paper we examine ``terminal'' value problems for dynamic equations on time scales -- that is, a dynamic equation whose solutions are asymptotic at infinity. We present a number of new theorems that guarantee the existence and uniqueness of solutions, as well as some comparison-type results. The methods we employ feature dynamic inequalities, weighted norms, and fixed-point theory.
ER -
HILSCHER, Roman a Christopher C. TISDELL. Terminal value problems for first and second order nonlinear equations on time scales. \textit{Electronic Journal of Differential Equations}. San Marcos, TX 78666, USA: Texas State University - San Marcos, roč.~2008, č.~68, s.~1-21. ISSN~1072-6691. 2008.
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