Some applications of the coincidence degree for set-contractions to functional differential equations of neutral type
Hetzer, Georg
Commentationes Mathematicae Universitatis Carolinae, Tome 016 (1975), p. 121-138 / Harvested from Czech Digital Mathematics Library
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Publié le : 1975-01-01
Classification:  34K15,  34K99,  47A50,  47H10,  47H15,  47J05 
@article{105610,
     author = {Georg Hetzer},
     title = {Some applications of the coincidence degree for set-contractions to functional differential equations of neutral type},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {016},
     year = {1975},
     pages = {121-138},
     zbl = {0298.47034},
     mrnumber = {0364814},
     language = {en},
     url = {http://dml.mathdoc.fr/item/105610}
}

Hetzer, Georg. Some applications of the coincidence degree for set-contractions to functional differential equations of neutral type. Commentationes Mathematicae Universitatis Carolinae, Tome 016 (1975) pp. 121-138. http://gdmltest.u-ga.fr/item/105610/

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. (1969) | MR 0247222

M. A. Cruz J. K. Hale Existence, uniqueness and continuous dependence for hereditary systems, Annali di Mathematica, Ser. 3, 85 (1970), 63-81. (1970) | MR 0262633

S. Fučík Further remarks on a theorem by E. M. Landesman and A. C. Lazer, Comment. Math. Univ. Carolinae 15 (1974), 259-271. (1974) | MR 0348260

S. Fučík M. Kučera J. Nečas Ranges of nonlinear asymptotically linear operators, (to appear in J. Differential Equations). | MR 0372696

J. K. Hale J. Mawhin Coincidence degree and periodic solutions of neutral equations, J. Differential Equations 15 (1974), 295-307. (1974) | MR 0336004

G. Hetzer Some remarks on $\phi$ -operators and on the coincidence degree for a Fredholm equation with noncompact nonlinear perturbations, (to appear). | MR 0385653 | Zbl 0316.47041

E. M. Landesman A. C. Lazer Nonlinear perturbations of linear boundary value problems at resonance, J. Math. Mech. 19 (1970), 609-623. (1970) | MR 0267269

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. (1972) | MR 0328703 | Zbl 0244.47049

J. Mawhin The solvability of some operator equations with a quasibound nonlinearity in normed spaces, J. Math. Anal. Appl. 45 (1974), 455-467. (1974) | MR 0333865

J. Mawhin Nonlinear perturbations of Gredholm mappings in normed spaces and applications to differential equations, Trabalho de Matematica Nr. 61, Univ. of Brasília 1974. (1974) | MR 0369823

J. Nečas On the range of nonlinear operators with linear asymptotes which are not invertible, Comment. Math. Univ. Carolinae 14 (1974), 63-72. (1974) | MR 0318995

R. D. Nussbaum A generalization of the Ascoli theorem and an application to functional differential equations, J. Math. Anal. Appl. 35 (1971), 600-610. (1971) | MR 0289898 | Zbl 0215.19501

R. D. Nussbaum Degree theory for local condensing maps, J. Math. Anal. Appl. 37 (1972), 741-766. (1972) | MR 0306986 | Zbl 0232.47062

R. D. Nussbaum Existence and uniqueness theorems for some functional differential equations of neutral type, J. Differential Equations 11 (1972), 607-623. (1972) | MR 0294825 | Zbl 0263.34070

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. (1971)

B. N. Sadovski Limit-compact and condensing operators, Russian Math. Surveys 27 (1972), 85-155. (1972) | MR 0428132

S. A. Williams A sharp sufficient condition for solutions of a nonlinear elliptic boundary value problem, J. Differential Equations 8 (1970), 580-586. (1970) | MR 0267267