Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives.
Necessary conditions for the Fourier coefficients of periodic functions to belong to B(p, k, )-classes of Besov type.
Nederivovatelné funkce
Nejjednodušší lineární kontinuum
Neštandardné číselné systémy a odovodnenie Leibnizovho infinitezimálneho počtu
New approach to the fractional derivatives.
New bounds for weights.
New bounds for the identric mean of two arguments.
New Čebyšev type inequalities via trapezoidal-like rules.
New characterizations for weighted composition operator from Zygmund type spaces to Bloch type spaces
Let be a holomorphic function and a holomorphic self-map of the open unit disk in the complex plane. We provide new characterizations for the boundedness of the weighted composition operators from Zygmund type spaces to Bloch type spaces in in terms of , , their derivatives, and , the -th power of . Moreover, we obtain some similar estimates for the essential norms of the operators , from which sufficient and necessary conditions of compactness of follows immediately.
New classes of distortion theorems for certain subclasses of analytic functions involving certain fractional derivatives
New classification of analytic functions with negative coefficients.
New equivalent conditions for Hardy-type inequalities
We consider a Hardy-type inequality with Oinarov's kernel in weighted Lebesgue spaces. We give new equivalent conditions for satisfying the inequality, and provide lower and upper estimates for its best constant. The findings are crucial in the study of oscillation and non-oscillation properties of differential equation solutions, as well as spectral properties.
New existence and stability results for partial fractional differential inclusions with multiple delay
We discuss the existence of solutions and Ulam's type stability concepts for a class of partial functional fractional differential inclusions with noninstantaneous impulses and a nonconvex valued right hand side in Banach spaces. An example is provided to illustrate our results.
New inequalities between elementary symmetric polynomials.
New inequalities involving the zeta function.
New inequalities obtained by means of quadrature formulae.
New inequalities of Hadamard's type for Lipschitzian mappings.
New inequalities of Shafer-Fink type for arc hyperbolic sine.
New inequalities on polynomial divisors.