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Approximation - solvability of some nonlinear operator equations with applications

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References

  1. AGMON, S., On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems, Commun. Pure and Appl. Math., 15(1962), 119–147.

    Article  MathSciNet  MATH  Google Scholar 

  2. BREZIS, H., Équations et inéquations non-linéaires dans les espaces vectoriels en dualité, Ann. Inst. Fourier (Grenoble), 18(1968), 115–175.

    Article  MathSciNet  MATH  Google Scholar 

  3. BROWDER, F.E., Fixed point theorems for nonlinear semi-contractive mappings in Banach spaces, Arch. Rational Mech. Anal., 21(1965/1966), 259–269.

    ADS  MathSciNet  MATH  Google Scholar 

  4. BROWDER, F.E., Nonlinear operators and nonlinear equations of evolution in Banach spaces, Proc. Sympos. Pure Math., Vol.18, part II, Amer. Math. Soc., Providence, R.I. (1976).

    Google Scholar 

  5. BROWDER, F.E. and HESS, P., Nonlinear mappings of monotone type in Banach spaces, J. Functional Anal., 11(1972), 251–294.

    Article  MathSciNet  MATH  Google Scholar 

  6. GLUŚKO, V.P. and KREIN, S.G., Inequalities for the norm of derivaties in LP spaces with weight, Siberian Math. J., 1 (3), (1960), 343–382.

    Google Scholar 

  7. KATO, T., Demicontinuity, hemicontinuity and monotonicity, II, Bull. Amer. Math. Soc., 73(1967), 886–889.

    Article  MathSciNet  MATH  Google Scholar 

  8. LIONS, J. L., Quelques méthodes de résolutions des problèmes aux limites non linéaires, Dunod; Gauthier-Villars, Paris, (1969).

    MATH  Google Scholar 

  9. MA, T.W., Topological degrees for set-valued compact vector fields in locally convex spaces, Dissertationes Math. Rozprawy Mat., 92(1972), 1–43.

    Google Scholar 

  10. MILOJEVIĆ, P.S., A generalization of Leray-Schauder theorem and surjectivity results for multivalued A-proper and pseudo A-proper mappings, J. Nonlinear Anal., Theory, Methods Appl. 1, (3) (1977), 263–276.

    Article  MathSciNet  MATH  Google Scholar 

  11. MILOJEVIĆ, P.S., Approximation solvability results for equations involving nonlinear, perturbations of Fredholm mappings with applications to differential equations, Proc. Seminar Functional Analysis, Holomorphy and Approximation Theory, M. Dekker, New York, (to appear).

    Google Scholar 

  12. MILOJEVIĆ, P.S. and PETRYSHYN, W.V., Continuation and surjectivity theorems for uniform limits of A-proper mappings with applications, J. Math. Anal. Appl., 62 (2) (1978), 368–400.

    Article  MathSciNet  MATH  Google Scholar 

  13. PETRYSHYN, W.V., On the approximation-sovability of equations involving A-proper and pseudo A-proper mappings, Bull. Amer. Math.Soc., 81 (2) (1975), 223–312.

    Article  MathSciNet  MATH  Google Scholar 

  14. PETRYSHYN, W.V., On nonlinear equations involving pseudo-A-proper mappings and their uniform limits with applications, J. Math. Anal. Appl., 38(1972), 672–720.

    Article  MathSciNet  MATH  Google Scholar 

  15. WEBB, J.R.L., Fixed point theorems for nonlinear semicontractive operators in Banach spaces, J. London Math. Soc., 1 (2) (1969), 683–688.

    Article  MathSciNet  MATH  Google Scholar 

  16. ZARUBIN, A.G., On a moments method for a class of nonlinear equations, Siberian Math. J., 19 (3) (1978), 577–586.

    Article  MathSciNet  Google Scholar 

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Antonio Fernandes Izé

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© 1980 Springer-Verlag

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Milojević, P.S. (1980). Approximation - solvability of some nonlinear operator equations with 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/BFb0089320

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  • DOI: https://doi.org/10.1007/BFb0089320

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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

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