The Difference Between the Product and the Convolution Product of Distribution Functions in
The Dirichlet-Jordan theorem for the Henstock-Fourier transform.
The divergence theorem and Perron integration with exceptional sets
The dual of the cone of all convex functions on a vector space.
The Dual of the Cone of All Convex Functions on a Vector Space. (Short Communication).
The dual of the space of functions of bounded variation
In the paper, we show that the space of functions of bounded variation and the space of regulated functions are, in some sense, the dual space of each other, involving the Henstock-Kurzweil-Stieltjes integral.
The dynamics of complex polynomials and automorphisms of the shift.
The extension of majorization inequalities within the framework of relative convexity.
The Extremal Convex Functions.
The Feigenbaum functional equation and periodic points.
The Feigenbaum functional equation and periodic points. (Short Communication).
The foam drainage equation with time and space-fractional derivatives solved by the adomian method.
The fractal dimension of invariant subsets for piecewise monotonic maps on the interval.
The fundamental solutions for fractional evolution equations of parabolic type.
The fundamental solutions for fractional evolution equations of parabolic type.
The fundamental theorem for the -integral on more general sets and a corresponding divergence theorem with singularities
The fundamental theorem of calculus for Lebesgue integral.
The fundamental theorem of dynamical systems
We propose the title of The Fundamental Theorem of Dynamical Systems for a theorem of Charles Conley concerning the decomposition of spaces on which dynamical systems are defined. First, we briefly set the context and state the theorem. After some definitions and preliminary results, based both on Conley's work and modifications to it, we present a sketch of a proof of the result in the setting of the iteration of continuous functions on compact metric spaces. Finally, we claim that this theorem...
The generalized method of exhaustion.
The global existence of mild solutions for semilinear fractional Cauchy problems in the α-norm
We study the local and global existence of mild solutions to a class of semilinear fractional Cauchy problems in the α-norm assuming that the operator in the linear part is the generator of a compact analytic C₀-semigroup. A suitable notion of mild solution for this class of problems is also introduced. The results obtained are a generalization and continuation of some recent results on this issue.