## Some Reports on Nonlinear Analysis and Differential Equations

UNDER CONSTRUCTION!!!

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I list below a few reports on nonlinear anaysis applied to various

problems involving differential equations. This has been a side interest
of mine

but the mathematics involved has meshed very nicely with my

current analytical and computational study of large structures

in turbulent flows.

- W Layton, Periodic solutions of nonlinear delay equations, JMAA,

JMAA,77(1980), 198-204.

- W Layton, On the existence of periodic solutions of

x''(t) + g( x(t) , x(t- tau) ) = B(x), Nonlinear Analysis TMA,

6(1982) , 863-872.

- L Drager and W layton, Nonlinear delay differential equations and
function algebras,

Proc Int Conf on Diff Eqns,( I Knowles and R Lewis, eds) , N Holland,
1983, 149-154.

- W Layton, Existence of almost periodic solutions to delay
differential equations with Lipschitz nonlinearities,

JDE, 55 (1984), 151-164.

- W Layton and L Drager, Nonresonance in functional differential
equations with small time lag,

Proc Int Conf on Func Diff Sys and Related Topics, III;

- W Layton and L Drager, Some results on nonresonant, nonlinear delay
differential equations,

Proc IV Int Conf on Trends in Thy and Prac on Nonlinear Anal, North
Holland, 1984 , 131-136.

- W Layton, An energy analysis of a degenerate hyperbolic partial
differential equation,

Aplikace Matematiky 29,(1984) , 350-366.

- W Layton, The Galerkin method for almost periodic solutions of
functional differential equations,

Funk Ekval, 28(1986),19-29.

- L Drager and W Layton, Bounded solutions of delay differential
equations subject to a generalized nonresonance condition,

JDE 131 (1996), 132-169.

- L Drager and W Layton, Initial value problems in nonlinear,
nonresonant delay differential equations with possibly infinite delay,

EJDE 24(1997), 1-20.