Displaying similar documents to “Iterative solutions of nonlinear equations with φ -strongly accretive operators.”

Second order evolution equations with parameter

Jan Bochenek, Teresa Winiarska (1994)

Annales Polonici Mathematici

Similarity:

We give some theorems on continuity and differentiability with respect to (h,t) of the solution of a second order evolution problem with parameter h Ω m . Our main tool is the theory of strongly continuous cosine families of linear operators in Banach spaces.

An abstract nonlinear second order differential equation

Jan Bochenek (1991)

Annales Polonici Mathematici

Similarity:

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.