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A compactness theorem for integral operators and applications

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Part of the Lecture Notes in Mathematics book series (LNM,volume 799)

Keywords

  • Linear Boundary
  • Fundamental Matrix
  • Compactness Theorem
  • Continuous Linear Operator
  • Equivalence Theorem

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. AVRAMESCU, C., Sur l'éxistence des solutions convergentes des systèmes d'équations différentielles non linéaires, Ann. Mat. Pura Appl. 4(1969).

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  2. CECCHI, M., MARINI, M. and ZEZZA, P.L., Linear boundary value problems for systems of ordinary differential equations on non-compact intervals, Ann. Mat. Pura Appl., (to appear).

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  3. CECCHI, M., MARINI, M. and ZEZZA, P.L., Un metodo astratto per problemi ai limiti non lineari su intervalli non comapatti, Comunicazione a Equadiff 78, Firenze, 24–30 Maggio 1978, Conti, Sestini, Villari eds.

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  4. CECCHI, M., MARINI, M. and ZEZZA, P.L., Linear boundary value problems for systems of ordinary differential equations on non-compact intervals. Part II: Stability and bounded perturbations, Ann. Mat. Pura Appl., (to appear).

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  5. CESARI, L., Functional analysis, non linear differential equations and the alternative method, in Nonlinear Funct. Analysis and Differential Eqns., L. Cesari, R. Kannan, J. D. Schuur eds., Dekker, New York, (1977), 1–197.

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  7. MAWHIN, J., Topological degree methods in nonlinear boundary value problems, Ref. conf. series in math. (40), Amer. Math. Soc., Providence, R.I., (1979).

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  8. KARTSATOS, A.G., The Leray-Schauder Theorem and the existence of solutions to boundary value problems on infinite intervals, Ind. Un. Math. J., 23, 11(1974).

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  9. ZEZZA, P.L., An equivalence theorem for non linear operator equations and an extension of Leray-Sachauder's continuation theorem, Boll. U. M. I. (5) 15-A (1978).

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© 1980 Springer-Verlag

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Cecchi, M., Marini, M., Zezza, P.L. (1980). A compactness theorem for integral operators and applications. In: Izé, A.F. (eds) Functional Differential Equations and Bifurcation. Lecture Notes in Mathematics, vol 799. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089311

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  • DOI: https://doi.org/10.1007/BFb0089311

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09986-4

  • Online ISBN: 978-3-540-39251-4

  • eBook Packages: Springer Book Archive