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- W2040890000 abstract "This paper studies the existence of aperiodic solution of a nonlinear integrodifferential system of the form $$x'(t) = Dx(t) + fleft( {x(t)} right) + intlimits_{ - infty }^t {k(t,s)gleft( {x(s)} right)ds + p(t)} ,$$ , for each continuous periodic function p and under suitable assumptions on f, k and g. A topological transversality method is employed to obtain the existence of periodic solutions. This method relies ona priori bounds on periodic solutions. Several examples are provided where a variant of Liapunov's direct method is employed to obtaina priori bounds on periodic solutions." @default.
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- W2040890000 title "Nonlinear integrodifferential equations anda priori bounds on periodic solutions" @default.
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- W2040890000 doi "https://doi.org/10.1007/bf01759641" @default.
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