Bounded solutions of hyperbolic boundary-value problems

DOI10.1007/s10958-017-3619-6zbMath1387.35402arXiv1701.02091OpenAlexW2779574863MaRDI QIDQ1703349

I. Ya. Kmit', Roman Klyuchnyk

Publication date: 2 March 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.02091

zbMATH Keywords

one space dimensionintegration along characteristicsdissipativity conditionFredhom alternative

Mathematics Subject Classification ID

Initial-boundary value problems for first-order hyperbolic systems (35L50)

Cites Work

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• Fredholm solvability of time-periodic boundary value hyperbolic problems
• Fredholm alternative and solution regularity for time-periodic hyperbolic systems.
• Fredholmness and smooth dependence for linear time-periodic hyperbolic systems
• Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems
• Dichotomies in stability theory
• Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces
• Classical Solutions in Sobolev Spaces for a Class of Hyperbolic Lotka--Volterra Systems
• Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
• A Theoretical Study of Receptor Mechanisms in Bacterial Chemotaxis
• Numerical Bifurcation Analysis for Multisection Semiconductor Lasers
• Well‐posedness, smooth dependence and centre manifold reduction for a semilinear hyperbolic system from laser dynamics
• Existence of weak solutions for a hyperbolic model of chemosensitive movement