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Some results concerning the abstract degenerate nonlinear equationD t Mu(t) +Lu(t)=f(t, Ku(t))

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Abstract

We apply some abstract existence results, proved in Sections 1 and 2 of the paper, to some cases of the following problem (P), formally stated as

$$\left\{ \begin{gathered} D_t \left( {Mu\left( t \right)} \right) + Lu\left( t \right) = f\left( {t,Ku\left( t \right)} \right) 0< t \leqslant \tau \hfill \\ Mu\left( t \right) \to u_0 as t \to 0 + \hfill \\ \end{gathered} \right.$$
((P))

whereK,L,M are linear and/is a nonlinear term. The unknown functionu is required to lie in various functional spaces.

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References

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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Bologna, 40126, Bologna, Italy

    Angelo Favini & Piero Plazzi

Authors
  1. Angelo Favini
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  2. Piero Plazzi
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We collect here for reference standard notation which will be employed throughout the whole paper.

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Favini, A., Plazzi, P. Some results concerning the abstract degenerate nonlinear equationD t Mu(t) +Lu(t)=f(t, Ku(t)) . Circuits Systems and Signal Process 5, 261–274 (1986). https://doi.org/10.1007/BF01600059

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  • DOI: https://doi.org/10.1007/BF01600059

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