Functional differential equations with nonlocal initial conditions.
Semilinear Volterra integrodifferential equations with nonlocal initial conditions.
Continuous selections of solution sets to Volterra integral inclusions in Banach spaces.
Extremal solutions to a class of multivalued integral equations in Banach space.
Abstract integral equations of Volterra type
Siano H uno spazio di Hilbert reale, una funzione reale su ed () una famiglia di operatori non lineari a più valori su H. In questo lavoro si studia l’equazione integrale di Volterra: , dove è una funzione assegnata. Fra l'altro, si ottengono teoremi di esistenza che generalizzano risultati di Barbu [1] coll'impiego di metodi di monotonicità.
Minimizing convex functions by continuous descent methods.
Stability of convergent continuous descent methods.
Convergence results for a class of abstract continuous descent methods.
Anti-periodic traveling wave solutions to a class of higher-order Kadomtsev-Petviashvili-Burgers equations.
On the long-time behaviour of compressible fluid flows subjected to highly oscillating external forces
We show that the global-in-time solutions to the compressible Navier-Stokes equations driven by highly oscillating external forces stabilize to globally defined (on the whole real line) solutions of the same system with the driving force given by the integral mean of oscillations. Several stability results will be obtained.
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