First-order differential equations of the hyperbolic type.

Radoń, Małgorzata

Displaying similar documents to “First-order differential equations of the hyperbolic type.”

An abstract semilinear first order differential equation in the hyperbolic case.

Radoń, Małgorzata (2004)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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An abstract semilinear first order differential equation in the hyperbolic case

Jan Bochenek (1995)

Annales Polonici Mathematici

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This paper is devoted to the investigation of the abstract semilinear initial value problem $d u / d t = A (t) u + f (t, u), u (0) = u_{0}$ , in the “hyperbolic” case.

The method of characteristics for hyperbolic boundary value problems on the plane.

Vorob&#039;eva, E.V., Romanovskij, R.K. (2000)

Siberian Mathematical Journal

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On the dynamics of a nonlinear multidimensional oscillator with memory.

Dinariev, O.Yu. (2000)

Siberian Mathematical Journal

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An abstract nonlinear second order differential equation

Jan Bochenek (1991)

Annales Polonici Mathematici

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By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of a semilinear second order differential initial value problem (1) as well as the existence of solutions of the linear inhomogeneous problem corresponding to (1) are proved. The main result of the paper is contained in Theorem 5.