Author(s): Wolfgang Alt, Micah Dembo (auth.), H. W. Knobloch, Klaus Schmitt (eds.)
Series: Lecture Notes in Mathematics 1017
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1983
Language: English
Pages: 668
Tags: Analysis
A contraction-disassembly model for intracellular actin gels....Pages 1-9
Differential equations with multiple solutions and nonlinear functional analysis....Pages 10-37
"Genaue" Fixpunktsätze und nichtlineare Sturm - Liouville - Probleme....Pages 38-42
Asymptotic integration of functional differential systems which are asymptotically autonomous....Pages 43-55
Approach to hyperbolic manifolds of stationary solutions....Pages 56-66
Linear Volterra-Stieltjes integral equations and control....Pages 67-72
Exchange of stability along a branch of periodic solutions of a single specie model....Pages 73-82
On asymptotically quadratic Hamiltonian systems....Pages 83-92
Numerical analysis of singularities in a diffusion reaction model....Pages 93-100
Hyperbolic Lipschitz homeomorphisms and flows....Pages 101-106
Some evolution equations arising in physics....Pages 107-114
Periodic solutions of neutral functional differential equations....Pages 115-121
On subquadratic not-autonomous Hamiltonian systems....Pages 122-131
A note on a class of autonomous Hamiltonian systems with strong resonance at infinity....Pages 132-139
Stabilizing effects of dissipation....Pages 140-147
Periodic solutions of generalized Lienard equations with delay....Pages 148-156
Asymptotic and strong asymptotic equivalence to polynomials for solutions of nonlinear differential equations....Pages 157-160
On some parabolic integro-differential equations: Existence and asymptotics of solutions....Pages 161-167
Oscillation and nonoscillation properties for second order nonlinear differential equations....Pages 168-176
Global Hopf bifurcation in porous catalysts....Pages 177-184
Weakly nonlinear systems and bifurcation of higher dimensional tori....Pages 185-193
Periodic solutions of functional differential equations....Pages 194-200
Subharmonic and chaotic solutions of the forced van der Pol relaxation oscillator....Pages 201-206
Functional differential equations with infinite delay on the space C γ ....Pages 207-214
Deterministic and stochastic models for the dynamics of animal populations....Pages 215-245
Stability properties for functional differential equations with infinite delay....Pages 246-255
An averaging method for Volterra integral equations with applications to phase-locked feedback systems....Pages 256-265
The asymptotic analysis of boundary value problems by the method of order reduction....Pages 266-271
An obstruction approach to multiparameter Hopf bifurcation....Pages 272-286
Finite dimensional approximation to systems with infinite dimensional state space....Pages 287-299
Asymptotic behavior in functional differential equations with infinite delay....Pages 300-312
Uniqueness and nonexistence of limit cycles for the Fitzhugh equation....Pages 313-321
Periodic solutions of nonlinear heat equations under discontinuous boundary conditions....Pages 322-327
Homoclinic bifurcation of perturbed reversible systems....Pages 328-363
On linear differential equations with almostperiodic coefficients and the property that the unit sphere is invariant....Pages 364-368
On some classes of nonlinear hyperbolic equations....Pages 369-385
Statistical stability of deterministic systems....Pages 386-419
Recent developments in stability and error analysis of numerical methods for ordinary differential equations....Pages 420-431
Numerical solution of a singular perturbation problem with turning points....Pages 432-439
Stability in Hilbert spaces by using the Riccati equation....Pages 440-445
Stability analysis of abstract hyperbolic equations using families of Liapunov functions....Pages 446-452
On codimension three bifurcations of a family of three-dimensional vector fields....Pages 453-461
The complete integrability of Hamiltonian systems....Pages 462-475
Linearized dynamics of shearing deformation perturbing rest in viscoelastic materials....Pages 476-507
Semigroups of operators in Banach spaces....Pages 508-524
A new method for constructing solutions of the Sine-Gordon equation....Pages 525-532
Periodic solutions of a class of semilinear, stochastic differential equations with random coefficients....Pages 533-542
A duality principle for neutral functional differential equations....Pages 543-552
Characterization of periodic solutions of special differential delay equations....Pages 553-562
Uniform stability of almost periodic solutions of delay-differential equations....Pages 563-567
Vector fields in the vicinity of a compact invariant manifold....Pages 568-574
Bifurcation from the essential spectrum....Pages 575-596
Some properties of nonlinear differential equations with quasiderivatives....Pages 597-607
Global asymptotic stability in epidemic models....Pages 608-615
Bifurcation at multiple eignvalues for equivariant mappings....Pages 616-624
Linear stability of bifurcating branches of equilibria....Pages 625-631
Efficient computation of stable bifurcating branches of nonlinear eigenvalue problems....Pages 632-640
Covariance analysis of distributed systems under stochastic point forces....Pages 641-660
Subharmonic oscillations of nonlinear systems....Pages 661-666