An abstract semilinear first order differential equation in the hyperbolic case

• Autorzy: Jan Bochenek
• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to the investigation of the abstract semilinear initial value problem

    $du/dt = A(t)u + f(t,u), u(0) = u_0$,

in the "hyperbolic" case.

Słowa kluczowe

EN

semilinear initial value problem; stable family of operators; hyperbolic case

Kategorie tematyczne

• 34K30: Equations in abstract spaces
• 34G20: Nonlinear equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1995
• Tom: 61
• Numer: 1
• Strony: 13-23

Daty

wydano

1995

otrzymano

1993-03-17

Twórcy

autor

Jan Bochenek

• Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland

Bibliografia

• [1] J. Bochenek, An abstract nonlinear second order differential equation, Ann. Polon. Math. 54 (1991), 155-166.
• [2] J. Dugundji and A. Granas, Fixed Point Theory, Vol. I, PWN, Warszawa, 1982.
• [3] M. Kozak, An abstract nonlinear temporally inhomogeneous equation, Demonstratio Math. 23 (1990), 993-1003.
• [4] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer, 1983.
• [5] H. Tanabe, Equations of Evolution, Pitman, London, 1979.
• [6] T. Winiarska, Differential Equations with Parameter, Monograf. 68, Technical University of Cracow, 1988.