Stability of quasi-linear differential equations with transition conditions.

Feng, Weizhen; Liu, Yubin

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Jaromír J. Koliha, Ivan Straškraba (1997)

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The stabilization of solutions to an abstract differential equation is investigated. The initial value problem is considered in the form of an integral equation. The equation is solved by means of the Banach contraction mapping theorem or the Schauder fixed point theorem in the space of functions decreasing to zero at an appropriate rate. Stable manifolds for singular perturbation problems are compared with each other. A possible application is illustrated on an initial-boundary-value...

The use of Lyapunov functions in uniqueness and nonuniqueness theorems

Josef Kalas (2000)

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Displaying similar documents to “Stability of quasi-linear differential equations with transition conditions.”

Stability properties of differential systems under constantly acting perturbations.

Existence of solutions for a system of elliptic partial differential equations.

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Asymptotic profile of a radially symmetric solution with transition layers for an unbalanced bistable equation.

Stability in nonlinear evolution problems by means of fixed point theorems

The use of Lyapunov functions in uniqueness and nonuniqueness theorems

Positive solutions for singular Sturm-Liouville boundary value problems on the half line.

On positive solutions for a class of strongly coupled $p$ -Laplacian systems.