Functionals on sequence spaces connected with the exponential stability of evolutionary processes.
Functions of finite fractional variation and their applications to fractional impulsive equations
We introduce a notion of a function of finite fractional variation and characterize such functions together with their weak -additive fractional derivatives. Next, we use these functions to study differential equations of fractional order, containing a -additive term—we prove existence and uniqueness of a solution as well as derive a Cauchy formula for the solution. We apply these results to impulsive equations, i.e. equations containing the Dirac measures.
Functions uniformly quiet at zero and existence results for one-parameter boundary value problems
We introduce the notion of uniform quietness at zero for a real-valued function and we study one-parameter nonlocal boundary value problems for second order differential equations involving such functions. By using the Krasnosel'skiĭ fixed point theorem in a cone, we give values of the parameter for which the problems have at least two positive solutions.
Functions without residue and a bilinear differential equation
Fundamental central dispersion in a simple system
Fundamental central dispersions in a double system
Fundamental central dispersions of the phase function with the final oscillation
Fundamental decay mode and asymptotic behaviour of positive semigroups
Fundamental operator-functions of degenerate differential and difference-differential operators in Banach spaces which have a Noether operator in the principal part.
Fundamental operator-valued functions of singular differential operators in Banach spaces.
Fundamental quadratic splines and applications
Fundamental theorems for linear measure differential equations.
Funktionalgleichungen in reellen Vektorräumen und verallgemeinerte Cauchy-Riemannsche Differentialgleichungen, speziell die Weylsche Gleichung des Neutrinos.
Funktionalgleichungen in reellen Verktorräumen und verallgemeinerte Cauchy-Riemannsche Differentialgleichungen, speziell die Weylsche Gleichung des Neutrinos. (Short Communication).
Funktionen beschränkter Homogenität.
Further generalization of generalized quasilinearization method.
Further higher monotonicity properties of Sturm-Liouville functions
Suppose that the function in the differential equation (1) is decreasing on where . We give conditions on which ensure that (1) has a pair of solutions such that the -th derivative () of the function has the sign for sufficiently large and that the higher differences of a sequence related to the zeros of solutions of (1) are ultimately regular in sign.
Further properties of Stepanov--Orlicz almost periodic functions
We revisit the concept of Stepanov--Orlicz almost periodic functions introduced by Hillmann in terms of Bochner transform. Some structural properties of these functions are investigated. A particular attention is paid to the Nemytskii operator between spaces of Stepanov--Orlicz almost periodic functions. Finally, we establish an existence and uniqueness result of Bohr almost periodic mild solution to a class of semilinear evolution equations with Stepanov--Orlicz almost periodic forcing term.
Further remark on a theorem by E. M. Landesman and A. C. Lazer
Further results for some third order differential systems with nonlinear dissipation
We formulate nonuniform nonresonance criteria for certain third order differential systems of the form , which further improves upon our recent results in [12], given under sharp nonresonance considerations. The work also provides extensions and generalisations to the results of Ezeilo and Omari [5], and Minhós [9] from the scalar to the vector situations.