Related papers: A note on the Tikhonov theorem on an infinite inte…
We discuss the use of inequalities to obtain the solution of certain variational problems on time scales.
We prove a $C^\infty$ global version of Nekhoroshev theorem for time dependent Hamiltonians in $R^d\times T^d$. Precisely, we prove a result showing that for all times the actions of the unperturbed systems are bounded by a constant times $…
A unified version of Machado-Bishop theorem in weighted spaces is given. A number of applications illustrate its importance.
We prove an abstract Birkhoff normal form theorem for Hamiltonian partial differential equations on torus. The normal form is complete up to arbitrary finite order. The proof is based on a valid non-resonant condition and a suitable norm of…
We derive the Helmholtz theorem for Hamiltonian systems defined on time scales in the context of nonshifted calculus of variations which encompass the discrete and continuous case. Precisely, we give a theorem characterizing first order…
We give a new proof of Brooks' theorem that immediately implies a strengthening of Brooks' theorem, known as Catlin's theorem.
In this paper, we give a new and short proof of a Theorem on k-hypertournament losing scores due to Zhou et al.[7].
We give an infinite number of proofs of Pythagoras theorem.Some can be classified as `self-similar proofs'.
We provide a proof of the sharp log-Sobolev inequality on a compact interval.
In this paper we investigate some strong convergence theorems for partial sums with respect to Vilenkin system.
In this short note we give counterexamples to several results related to extension theorems published recently.
In this paper we present a new correlation inequality and use it for proving an Almost Sure Local Limit Theorem for the so-called Dickman distribution. Several related results are also proved
In this note we shall give a new proof to a quadrature formulae due to Newton.
We expose the most advanced equiconvergence results for Birkhoff- and Stone-regular differential operators and present also author's approach to this problem. We give a full proof of equiconvergence on the whole interval, which constitutes…
We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.
We prove existence of an invariant measure on a hypergroup.
In this short note we present several infinite dimensional theorems which generalize corresponding facts from the finite dimensional differential inclusions theory.
We present a new, short and independent proof of the Liouville-type theorem for entire and subharmonic functions of finite order bounded outside some set of zero planar density.
In this note, we establish some new results on some special types of function algebras and also give new proofs to some existing ones
In this article we extend results of Kakutani, Adler-Flatto, Smilansky and others on the classical $\alpha$-Kakutani equidistribution result for sequences arising from finite partitions of the interval. In particular, we describe a…