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Boundary value problems for forced nonlinear equations at resonance

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Ordinary and Partial Differential Equations

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References

  1. H. AMANN, Esistence theorems for equations of Hammerstein type, Appl. Anal., 2 (1973), 385–397.

    Article  MathSciNet  MATH  Google Scholar 

  2. H. BRÉZIS and L. NIRENBERG, Characterizations of the ranges of some nonlinear operators and applications to boundary value problems, Ann. Scuola Norm. Sup. Pisa, (Rend. Cl. Sci.), (4) 5 (1978), 225–326.

    MathSciNet  MATH  Google Scholar 

  3. C.P. GUPTA, On functional equations of Fredholm and Hammerstein type with applications to existence of periodic solutions of certain ordinary differential equations, J. Integral Equations, 3 (1981), 21–41.

    MathSciNet  MATH  Google Scholar 

  4. C.P. GUPTA, Perturbations of second order linear elliptic problems by unbounded nonlinearities, J. Nonlinear Anal., TMA, 6 (1982), 919–933.

    Article  MathSciNet  MATH  Google Scholar 

  5. H.G. HEUSER, Functional Analysis, Wiley Intersci. Publ., New York, 1982.

    MATH  Google Scholar 

  6. J. MAWHIN, Landesman-Lazer’s type problems for nonlinear equations, Conf. Sem. Mat. Univ. Bari, 147, 1977.

    Google Scholar 

  7. J. MAWHIN, Topological degree methods in nonlinear boundary value problems, Reg. Conf. Ser. in Math., CBMS, n. 40, Amer. Math. Soc., Providence, R.I., 1979.

    Google Scholar 

  8. P. OMARI and F. ZANOLIN, On forced nonlinear oscillations in n-th order differential systems with geometric conditions, J. Nonlinear Anal., TMA, (to appear).

    Google Scholar 

  9. P. OMARI and F. ZANOLIN, Existence results for forced nonlinear periodic BVPs at resonance, Ann. Mat. Pura Appl., (to appear).

    Google Scholar 

  10. P. OMARI and F. ZANOLIN, Sharp nonresonance conditions for periodically perturbed Liénard systems (to appear).

    Google Scholar 

  11. R. REISSIG, Schwingungssatze fur die verallgemeinerte Liénardsche Differentialgleichung, Abh. Math. Sem. Univ. Hamburg, 44 (1975), 45–51.

    Article  MathSciNet  MATH  Google Scholar 

  12. F. ZANOLIN, On forced nonlinear oscillations for some second order delay-differential systems, in Evolution equations and their applications (Proc. Conf. Diff. Equations and Appl., Retzhof, 1981), F. Kappel and W. Schappacher, Ed., Res. Notes in Math., n. 68, Pitman, Boston, 1982; 295–313.

    Google Scholar 

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Brian D. Sleeman Richard J. Jarvis

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© 1985 Springer-Verlag

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Omari, P., Zanolin, F. (1985). Boundary value problems for forced nonlinear equations at resonance. In: Sleeman, B.D., Jarvis, R.J. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 1151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074737

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  • DOI: https://doi.org/10.1007/BFb0074737

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15694-9

  • Online ISBN: 978-3-540-39640-6

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