| Title:
|
Some applications of the coincidence degree for set-contractions to functional differential equations of neutral type (English) |
| Author:
|
Hetzer, Georg |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
16 |
| Issue:
|
1 |
| Year:
|
1975 |
| Pages:
|
121-138 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K15 |
| MSC:
|
34K99 |
| MSC:
|
47A50 |
| MSC:
|
47H10 |
| MSC:
|
47H15 |
| MSC:
|
47J05 |
| idZBL:
|
Zbl 0298.47034 |
| idMR:
|
MR0364814 |
| . |
| Date available:
|
2008-06-05T20:47:15Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105610 |
| . |
| Reference:
|
[1] A. L. BADOEV B. N. SADOVSKI: An example of a densifying operator in the theory of differential equations with a deviating argument of neutral type.Soviet Math. Dokl. 10 (1969), 724-728. MR 0247222 |
| Reference:
|
[2] M. A. CRUZ J. K. HALE: Existence, uniqueness and continuous dependence for hereditary systems.Annali di Mathematica, Ser. 3, 85 (1970), 63-81. MR 0262633 |
| Reference:
|
[3] S. FUČÍK: Further remarks on a theorem by E. M. Landesman and A. C. Lazer.Comment. Math. Univ. Carolinae 15 (1974), 259-271. MR 0348260 |
| Reference:
|
[4] S. FUČÍK M. KUČERA J. NEČAS: Ranges of nonlinear asymptotically linear operators.(to appear in J. Differential Equations). MR 0372696 |
| Reference:
|
[5] J. K. HALE J. MAWHIN: Coincidence degree and periodic solutions of neutral equations.J. Differential Equations 15 (1974), 295-307. MR 0336004 |
| Reference:
|
[6] G. HETZER: Some remarks on $\phi$ -operators and on the coincidence degree for a Fredholm equation with noncompact nonlinear perturbations.(to appear). Zbl 0316.47041, MR 0385653 |
| Reference:
|
[7] E. M. LANDESMAN A. C. LAZER: Nonlinear perturbations of linear boundary value problems at resonance.J. Math. Mech. 19 (1970), 609-623. MR 0267269 |
| Reference:
|
[8] J. MAWHIN: Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces.J. Differential Equations 12 (1972), 610-636. Zbl 0244.47049, MR 0328703 |
| Reference:
|
[9] J. MAWHIN: The solvability of some operator equations with a quasibound nonlinearity in normed spaces.J. Math. Anal. Appl. 45 (1974), 455-467. MR 0333865 |
| Reference:
|
[10] J. MAWHIN: Nonlinear perturbations of Gredholm mappings in normed spaces and applications to differential equations.Trabalho de Matematica Nr. 61, Univ. of Brasília 1974. MR 0369823 |
| Reference:
|
[11] J. NEČAS: On the range of nonlinear operators with linear asymptotes which are not invertible.Comment. Math. Univ. Carolinae 14 (1974), 63-72. MR 0318995 |
| Reference:
|
[12] R. D. NUSSBAUM: A generalization of the Ascoli theorem and an application to functional differential equations.J. Math. Anal. Appl. 35 (1971), 600-610. Zbl 0215.19501, MR 0289898 |
| Reference:
|
[13] R. D. NUSSBAUM: Degree theory for local condensing maps.J. Math. Anal. Appl. 37 (1972), 741-766. Zbl 0232.47062, MR 0306986 |
| Reference:
|
[14] R. D. NUSSBAUM: Existence and uniqueness theorems for some functional differential equations of neutral type.J. Differential Equations 11 (1972), 607-623. Zbl 0263.34070, MR 0294825 |
| Reference:
|
[15] B. N. SADOVSKI: Applications to topological methods in the theory of periodic solutions of nonlinear differential operator equations of neutral type.Soviet Math. Dokl. 12 (1971), 1543-1547. |
| Reference:
|
[16] B. N. SADOVSKI: Limit-compact and condensing operators.Russian Math. Surveys 27 (1972), 85-155. MR 0428132 |
| Reference:
|
[17] S. A. WILLIAMS: A sharp sufficient condition for solutions of a nonlinear elliptic boundary value problem.J. Differential Equations 8 (1970), 580-586. MR 0267267 |
| . |
