Nielsen number, Artin braids, Poincaré operators and multiple nonlinear oscillations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 2, 2001, Pages 1017-1028

  Andres, J ^a,b  

^a PALACKÝ UNIVERSITY   (Czech Republic)

^b NONE

Author keywords

Braid invariants; Differential inclusions; Multiplicity generic results; Multivalued translation operators; Nielsen theory; Periodic solutions

Indexed keywords

HARMONIC ANALYSIS; MANY VALUED LOGICS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

ARTIN BRAID; NIELSEN FIXED-POINT THEORY; PLANAR CARATHEODORY PERIODIC SYSTEMS; POINTCARE OPERATORS;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0035426140     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00242-5     Document Type: Article

References (18)

1. On the multivalued Poincaré operators
2. Multiple bounded solutions of differential inclusions: The Nielsen theory approach
3. A nontrivial example of application of the Nielsen fixed point theory to differential systems: Problem of Jean Leray
4. A generalized Nielsen number and multiplicity results for differential inclusions
5. Noncompact version of the multivalued Nielsen theory and its application to differential inclusions
6. On the extension of approximations for set-valued maps and the repulsive fixed points
7. Braids, links and mapping class groups
8. Nielsen fixed point theory
9. Nielsen theory for periodic orbits and applications to dynamical systems
10. The forcing partial order of the three times punctured disk
11. The number and linking of periodic solutions of periodic systems
12. Wave form in the dynamical study of ordinary differential equations
13. The number and linking of periodic solutions of non-dissipative systems
14. Approximations and approximative selections of upper Carathéodory multifunctions