Displaying similar documents to “Nonlinear Spectral Theories and Solvability of Nonlinear Hammerstein Equations”

A phase-field model of grain boundary motion

Akio Ito, Nobuyuki Kenmochi, Noriaki Yamazaki (2008)

Applications of Mathematics

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We consider a phase-field model of grain structure evolution, which appears in materials sciences. In this paper we study the grain boundary motion model of Kobayashi-Warren-Carter type, which contains a singular diffusivity. The main objective of this paper is to show the existence of solutions in a generalized sense. Moreover, we show the uniqueness of solutions for the model in one-dimensional space.

Rejection of nonharmonic disturbances in nonlinear systems

Shutang Liu, Yuan Jiang, Ping Liu (2010)

Kybernetika

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This paper proposes an asymptotic rejection algorithm on the rejection of nonharmonic periodic disturbances for general nonlinear systems. The disturbances, which are produced by nonlinear exosystems, are nonharmonic and periodic. A new nonlinear internal model is proposed to deal with the disturbances. Further, a state feedback controller is designed to ensure that the system's state variables can asymptotically converge to zero, and the disturbances can be completely rejected. The...

Solvability of a periodic type boundary value problem for first order scalar functional differential equations

Robert Hakl, Alexander Lomtatidze, Jiří Šremr (2004)

Archivum Mathematicum

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Nonimprovable sufficient conditions for the solvability and unique solvability of the problem u ' ( t ) = F ( u ) ( t ) , u ( a ) - λ u ( b ) = h ( u ) are established, where F : → is a continuous operator satisfying the Carathèodory conditions, h : → R is a continuous functional, and λ ∈ .