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Convergence to steady states of solutions of semilinear evolutionary integral equations

✍ Scribed by Ralph Chill; Eva Fašangová


Publisher
Springer
Year
2005
Tongue
English
Weight
216 KB
Volume
22
Category
Article
ISSN
0944-2669

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📜 SIMILAR VOLUMES


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✍ R. Chill; M.A. Jendoubi 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 235 KB

We study the convergence to equilibrium of bounded solutions of the nonautonomous ÿrst-order problem u + Mu = g(t); t∈ R+ and of the second-order problem u + u + Mu = g(t); t∈ R+: Applications to di usion, wave, Cahn-Hilliard and Kirchho -Carrier equations are described.

Integral Inequalities and Global Solutio
✍ Milan Medved̆ 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 86 KB

A criterion for the nonexplosion of solutions to semilinear evolution equations on Banach spaces is proved. The result is obtained by applying a modification of the Bihari type inequality to the case of a weakly singular nonlinear integral inequality.