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Displaying 241 – 260 of 382

On admissibility for parabolic equations in ℝⁿ

Martino Prizzi (2003)

Fundamenta Mathematicae

We consider the parabolic equation (P) $u_{t} - Δ u = F (x, u)$ , (t,x) ∈ ℝ₊ × ℝⁿ, and the corresponding semiflow π in the phase space H¹. We give conditions on the nonlinearity F(x,u), ensuring that all bounded sets of H¹ are π-admissible in the sense of Rybakowski. If F(x,u) is asymptotically linear, under appropriate non-resonance conditions, we use Conley’s index theory to prove the existence of nontrivial equilibria of (P) and of heteroclinic trajectories joining some of these equilibria. The results obtained extend...

On closed 4-manifolds admitting a Morse function with 4 critical points

Wenxue Huang (1996)

Czechoslovak Mathematical Journal

On foundations of the Conley index theory

Roman Srzednicki (1999)

Banach Center Publications

The Conley index theory was introduced by Charles C. Conley (1933-1984) in [C1] and a major part of the foundations of the theory was developed in Ph. D. theses of his students, see for example [Ch, Ku, Mon]. The Conley index associates the homotopy type of some pointed space to an isolated invariant set of a flow, just as the fixed point index associates an integer number to an isolated set of fixed points of a continuous map. Examples of isolated invariant sets arise naturally in the critical...

On Nonlinear Parametric Problems for p-Laplacian-Like Operators.

N.S. Papageorgiou, E.M. Rocha (2009)

RACSAM

On periodic solutions of superquadratic Hamiltonian systems.

Fei, Guihua (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

On p-parameter bifurcation of an n-dimensional function-germ.

Nicolas Dutertre (1997)

Manuscripta mathematica

On the Arnold conjecture for weakly monotone symplectic manifolds.

Kaoru Ono (1995)

Inventiones mathematicae

On the concentration of solutions of singularly perturbed Hamiltonian systems in $ℝ^{N}$ .

Ramos, Miguel, Soares, Sérgio H.M. (2006)

Portugaliae Mathematica. Nova Série

On the Conley index in Hilbert spaces in the absence of uniqueness

Marek Izydorek, Krzysztof P. Rybakowski (2002)

Fundamenta Mathematicae

Consider the ordinary differential equation (1) ẋ = Lx + K(x) on an infinite-dimensional Hilbert space E, where L is a bounded linear operator on E which is assumed to be strongly indefinite and K: E → E is a completely continuous but not necessarily locally Lipschitzian map. Given any isolating neighborhood N relative to equation (1) we define a Conley-type index of N. This index is based on Galerkin approximation of equation (1) by finite-dimensional ODEs and extends...

On the existence and non-existence of closed trajectories for some Hamiltonian flows.

Viktor L. Ginzburg (1996)

Mathematische Zeitschrift

On the existence of escaping geodesics.

Victor Bangert (1981)

Commentarii mathematici Helvetici

On the existence of free vibrations for a beam equation when the period is an irrational multiple of the length

Eduard Feireisl (1988)

Aplikace matematiky

The author examined non-zero $T$ -periodic (in time) solutions for a semilinear beam equation under the condition that the period $T$ is an irrational multiple of the length. It is shown that for a.e. $T \in R^{1}$ (in the sense of the Lebesgue measure on $R^{1}$ ) the solutions do exist provided the right-hand side of the equation is sublinear.

Currently displaying 241 – 260 of 382

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Displaying 241 – 260 of 382

On admissibility for parabolic equations in ℝⁿ

On closed 4-manifolds admitting a Morse function with 4 critical points

On foundations of the Conley index theory

On Nonlinear Parametric Problems for p-Laplacian-Like Operators.

On periodic solutions of superquadratic Hamiltonian systems.

On p-parameter bifurcation of an n-dimensional function-germ.

On the Arnold conjecture for weakly monotone symplectic manifolds.

On the concentration of solutions of singularly perturbed Hamiltonian systems in $ℝ^{N}$ .

On the Conley index in Hilbert spaces in the absence of uniqueness

On the existence and non-existence of closed trajectories for some Hamiltonian flows.

On the existence of escaping geodesics.

On the existence of free vibrations for a beam equation when the period is an irrational multiple of the length

On the Existence of Harmonic Diffeomorphisms Between Surfaces.

On the existence of multiple geodesics in static space-times

On the existence of periodic solutions of a semilinear wave equation with a superlinear forcing term

On the existence of positive solution for an elliptic equation of Kirchhoff type via Moser iteration method.

On the existence of solutions for impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions.

On the existence of solutions to a fourth-order quasilinear resonant problem.

On the genus of represenattion spheres.

On the Morse Complex.

Currently displaying 241 – 260 of 382