Geodesic
Terminal value problems for first and second order nonlinear equations on time scales
Electronic journal of differential equations, Tome 2008 (2008)
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.
Classification : 34C99, 39A10
Keywords: time scale, terminal value problem, nonlinear equation, Banach fixed point theorem, bounded solution, weighted norm 
@article{EJDE_2008__2008__a15,
     author = {Hilscher,  Roman and Tisdell,  Christopher C.},
     title = {Terminal value problems for first and second order nonlinear equations on time scales},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1176.34059},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a15/}
}
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AU  - Tisdell,  Christopher C.
TI  - Terminal value problems for first and second order nonlinear equations on time scales
JO  - Electronic journal of differential equations
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VL  - 2008
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%A Tisdell,  Christopher C.
%T Terminal value problems for first and second order nonlinear equations on time scales
%J Electronic journal of differential equations
%D 2008
%V 2008
%U http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a15/
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%F EJDE_2008__2008__a15
Hilscher,  Roman; Tisdell,  Christopher C. Terminal value problems for first and second order nonlinear equations on time scales. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a15/