Boundary value and periodic problem for the equation x ' ' ( t ) + g ( x ( t ) ) = p ( t )

Svatopluk Fučík; Vladimír Lovicar

Commentationes Mathematicae Universitatis Carolinae (1974)

  • Volume: 015, Issue: 2, page 351-355
  • ISSN: 0010-2628

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Fučík, Svatopluk, and Lovicar, Vladimír. "Boundary value and periodic problem for the equation $x^{\prime \prime }(t)+g(x(t))=p(t)$." Commentationes Mathematicae Universitatis Carolinae 015.2 (1974): 351-355. <http://eudml.org/doc/16627>.

@article{Fučík1974,
author = {Fučík, Svatopluk, Lovicar, Vladimír},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {2},
pages = {351-355},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Boundary value and periodic problem for the equation $x^\{\prime \prime \}(t)+g(x(t))=p(t)$},
url = {http://eudml.org/doc/16627},
volume = {015},
year = {1974},
}

TY - JOUR
AU - Fučík, Svatopluk
AU - Lovicar, Vladimír
TI - Boundary value and periodic problem for the equation $x^{\prime \prime }(t)+g(x(t))=p(t)$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1974
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 015
IS - 2
SP - 351
EP - 355
LA - eng
UR - http://eudml.org/doc/16627
ER -

References

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  1. A. AMBROSETTI G. PRODI, Analisi non lineare, I quaderno, Pisa 1973. (1973) 
  2. L. CESARI, Functional analysis and periodic solutions of nonlinear equations, Contributions to differential equations I (1963), 149-187. (1963) MR0151678
  3. S. FUČÍK, Nonlinear equations with noninvertible linear part, to appear in Czech. Math. Journal No 3 (1974). (1974) MR0348568
  4. S. FUČÍK J. NEČAS J. SOUČEK V. SOUČEK, Spectral analysis of nonlinear operators, Lecture Notes in Math. No 346, Springer Verlag 1973. (1973) MR0467421
  5. E. A. LANDESMAN A. C. LAZER, Nonlinear perturbations of linear elliptic boundary value problem at resonance, J. Math. Mech. 19 (1970), 609-623. (1970) MR0267269
  6. A. M. MICHELETTI, Le soluzioni periodiche dell’equazioni differenziale non lineare x ' ' ( t ) + 2 x 3 ( t ) = f ( t ) , Ann. Univ. Ferrara 12 (1967), 103-119. (1967) MR0223657
  7. G. R. MORRIS, A differential equation for undamped forced oscillation, Proc. Cambridge Phil. Soc. 51 (1955), p. 297, 54 (1958) p. 426, 61 (1965), P. 157, 62 (1965), p. 133. (1955) 
  8. J. NEČAS, On the range of nonlinear operators with linear asymptotes which are not invertible, Comment. Math. Univ. Carolinae 14 (1973), 63-72. (1973) MR0318995
  9. K. SCHMITT, A nonlinear boundary value problem, J. Diff. Equ. 7 (1970), 527-537. (1970) Zbl0198.12301MR0254314

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