Monatshefte für Mathematik

, Volume 93, Issue 3, pp 225–238 | Cite as

On a classical Nicoletti boundary value problem

  • Seppo Seikkala
Article
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Revised:

Abstract

We shall derive existence, uniqueness and comparison results for the functional differential equationx′(t)=f(t, x), a. e.t∈I, with classical Nicoletti boundary conditionsxi(ti)=yi∈X, i∈A, whereI is a real interval,A is a nonempty set andX is a Banach space.

Keywords

Banach Space Comparison Result Real Interval 
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References

  1. [1]
    Blaz, J., Walter, W.: Über Funktional-Differentialgleichungen mit voreilendem Argument. Mh. Math.82, 1–16 (1976).Google Scholar
  2. [2]
    Heikkilä, S., Seikkala, S.: On the estimation of successive approximations in abstract spaces. J. Math. Anal. Appl.58, 378–383 (1977).Google Scholar
  3. [3]
    Lasota, A., Olech, C.: An optimal solution of Nicoletti's boundary value problem. Ann. Polon. Math.18, 131–139 (1966).Google Scholar
  4. [4]
    Seikkala, S.: On the method of successive approximations for nonlinear equations in spaces of continuous functions. Acta Univ. Oul. A76-Math. 19 (1978).Google Scholar
  5. [5]
    Walter, W.: Über sukzessive Approximation bei Volterra-Integralgleichungen in mehreren Veränderlichen. Ann. Acad. Sci. Fennicae Ser. AI345, 1–32 (1965).Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Seppo Seikkala
    • 1
  1. 1.Department of Mathematics Faculty of TechnologyUniversity of OuluOulu 57Finland

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