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Second order semilinear Volterra integrodifferential equation in Banach space

Jan Bochenek (1992)

Annales Polonici Mathematici

By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of some semilinear second order Volterra integrodifferential equations in Banach spaces is proved. The results are applied to some integro-partial differential equations.

Second-order elliptic integro-differential equations : viscosity solutions' theory revisited

Guy Barles, Cyril Imbert (2008)

Annales de l'I.H.P. Analyse non linéaire

Semigroup Analysis of Structured Parasite Populations

J. Z. Farkas, D. M. Green, P. Hinow (2010)

Mathematical Modelling of Natural Phenomena

Motivated by structured parasite populations in aquaculture we consider a class of size-structured population models, where individuals may be recruited into the population with distributed states at birth. The mathematical model which describes the evolution of such a population is a first-order nonlinear partial integro-differential equation of hyperbolic type. First, we use positive perturbation arguments and utilise results from the spectral...

Smoothing effect and regularity for evolution integrodifferential systems

Marián Slodička (1989)

Commentationes Mathematicae Universitatis Carolinae

Smoothness in fractional evolution equations and conservation laws

Gustaf Gripenberg, Philippe Clément, Stig-Olof Londen (2000)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Solution forte pour des équations intégro-différentielles non linéaires paraboliques

Guy Vallet (1997)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Solution of some parabolic integro-differential equations by means of the algebraic operational calculus of distributions.

S. Vasilach (1973)

Publications de l'Institut Mathématique [Elektronische Ressource]

Solution semigroup and invariant manifolds for functional equations with infinite delay

Hana Petzeltová (1993)

Mathematica Bohemica

It is proved that parabolic equations with infinite delay generate $C_{0}$ -semigroup on the space of initial conditions, such that local stable and unstable manifolds can be constructed for a fully nonlinear problems with help of usual methods of the theory of parabolic equations.