Existence results for implicit differential equations

Michal Fečkan

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 1, page 35-42
  • ISSN: 0232-0525

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Fečkan, Michal. "Existence results for implicit differential equations." Mathematica Slovaca 48.1 (1998): 35-42. <http://eudml.org/doc/32087>.

@article{Fečkan1998,
author = {Fečkan, Michal},
journal = {Mathematica Slovaca},
keywords = {implicit differential equation; pseudomonotone operator; generalized Leray-Schauder degree},
language = {eng},
number = {1},
pages = {35-42},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Existence results for implicit differential equations},
url = {http://eudml.org/doc/32087},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Fečkan, Michal
TI - Existence results for implicit differential equations
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 1
SP - 35
EP - 42
LA - eng
KW - implicit differential equation; pseudomonotone operator; generalized Leray-Schauder degree
UR - http://eudml.org/doc/32087
ER -

References

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  1. BERGER M. S., Nonlinearity and Functional Analysis, Academic Press, New York, 1977. (1977) Zbl0368.47001MR0488101
  2. BERKOVITS J.-MUSTONEN V., An extension of Leray-Schauder degree and applications to nonlinear wave equations, Differential Integral Equations 3 (1990), 945-963. (1990) Zbl0724.47024MR1059342
  3. BIELAWSKI R.-GORNIEWICZ L., A fixed point index approach to some differential equations, In: Proc. Conf. Topological Fixed Point Theory and Appl. (Boju Jiang, Ed.). Lecture Notes in Math. 1411, Springer-Verlag, New York, 1989, pp. 9-14. (1989) Zbl0685.55001MR1031778
  4. DEIMLING K., Nonlinear Functional Analysis, Springer-Verlag, Berlin, 1985. (1985) Zbl0559.47040MR0787404
  5. ERBE L. H.-KRAWCEWICZ W.-KACZYNSKI T., Solvability of two-point boundary value problems for systems of nonlinear differential equations of the form y" = 9(t,y,y'>y"), Rocky Mountain J. Math. 20 (1990), 899-907. (1990) MR1096559
  6. FEČKAN M., Nonnegative solutions of nonlinear integral equations, Comment. Math. Univ. Carolin. 36 (1995), 615-627. (1995) Zbl0840.45007MR1378685
  7. FEČKAN M., On the existence of solutions of nonlinear equations, Proc. Amer. Math. Soc. 124 (1996), 1733-1742. (1996) Zbl0861.47045MR1327010
  8. FRIGON M.-KACZYNSKI T., Boundary value problems for systems of implicit differential equations, J. Math. Anal. Appl. 179 (1993), 317-326. (1993) Zbl0799.34023MR1249822
  9. PETRYSHYN W. V., Solvability of various boundary value problems for the equation x" = f(t,x,x',xn) - y, Pacific J. Math. 122 (1986), 169-195. (1986) MR0825230
  10. PETRYSHYN W. V.-YU Z. S., On the solvability of an equation describing the periodic motions of a satellite in its elliptic orbit, Nonlinear Anal. 9 (1985), 969-975. (1985) Zbl0581.70024MR0804562
  11. PETRYSHYNW V.-YU Z. S., Solvability of Neumann bv problems for nonlinear second-order odes which need not be solvable for the highest-order derivative, J. Math. Anal. Appl. 91 (1983), 244-253. (1983) MR0688543
  12. RICCERI B., [unknown], Glasgow Math. J. 33 (1991), 343-348. (1991) MR1127526
  13. SCHNEIDER K. R., Existence and approximation results to the Cauchy problem for a class of differential-algebraic equations, Z. Anal. Anwendungen 10 (1991), 375-384. (1991) Zbl0772.34003MR1155617
  14. WEBB J. R. L.-WELSH S. C., Existence and uniqueness of initial value problems for a class of second-order differential equations, J. Differential Equations 82 (1989), 314-321. (1989) Zbl0691.34005MR1027971

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