Continuous and inverse shadowing for flows.

Kościelniak, Piotr

Displaying similar documents to “Continuous and inverse shadowing for flows.”

Saddles for expansive flows with the pseudo orbits tracing property

Jerzy Ombach (1991)

Annales Polonici Mathematici

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Let F be an expansive flow with the pseudo orbits tracing property on a compact metric space X. Suppose X is connected, locally connected and contains at least two distinct orbits. Then any point is a saddle.

On strongly Hausdorff flows

Hiromichi Nakayama (1996)

Fundamenta Mathematicae

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A flow of an open manifold is very complicated even if its orbit space is Hausdorff. In this paper, we define the strongly Hausdorff flows and consider their dynamical properties in terms of the orbit spaces. By making use of this characterization, we finally classify all the strongly Hausdorff $C^{1}$ -flows.

Qualitative investigation of nonlinear differential equations describing infiltration of water

Xingbao Wu (1995)

Annales Polonici Mathematici

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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.

The proof of the Nirenberg-Treves conjecture

Nils Dencker (2003)

Journées équations aux dérivées partielles

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We prove the Nirenberg-Treves conjecture : that for principal type pseudo-differential operators local solvability is equivalent to condition ( $Ψ$ ). This condition rules out certain sign changes of the imaginary part of the principal symbol along the bicharacteristics of the real part. We obtain local solvability by proving a localizable estimate for the adjoint operator with a loss of two derivatives (compared with the elliptic case). The proof involves a new metric in the Weyl (or Beals-Fefferman)...

Solvability of inverse extremal problems for stationary heat and mass transfer equations.

Alekseev, G.V. (2001)

Sibirskij Matematicheskij Zhurnal

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Pseudo-orthogonal polynomials.

Kuznetsov, Yu.I. (2001)

Sibirskij Matematicheskij Zhurnal

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Density of periodic orbit measures for transformations on the interval with two monotonic pieces

Franz Hofbauer, Peter Raith (1998)

Fundamenta Mathematicae

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Transformations T:[0,1] → [0,1] with two monotonic pieces are considered. Under the assumption that T is topologically transitive and $h_{t o p} (T) > 0$ , it is proved that the invariant measures concentrated on periodic orbits are dense in the set of all invariant probability measures.