Existence results for implicit differential equations

Michal Fečkan

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 1, page 35-42
  • ISSN: 0139-9918

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.