The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part II. The Error Analysis of the h- and h-p Versions.
The Helmholtz decomposition and the weak Neumann problem in
The HELP inequality for Hamiltonian systems.
The Henstock-Kurzweil-Pettis integrals and existence theorems for the Cauchy problem
In this paper we prove an existence theorem for the Cauchy problem using the Henstock-Kurzweil-Pettis integral and its properties. The requirements on the function are not too restrictive: scalar measurability and weak sequential continuity with respect to the second variable. Moreover, we suppose that the function satisfies some conditions expressed in terms of measures of weak noncompactness.
The Hopf bifurcation theorem for parabolic equations with infinite delay
The existence of the Hopf bifurcation for parabolic functional equations with delay of maximum order in spatial derivatives is proved. An application to an integrodifferential equation with a singular kernel is given.
The H-theorem for Boltzmann type equations.
The impact of unbounded swings of the forcing term on the asymptotic behavior of functional equations
Necessary and sufficient conditions have been found to force all solutions of the equation to behave in peculiar ways. These results are then extended to the elliptic equation where is the Laplace operator and is an integer.
The influence of argument delay on oscillatory properties of a second-order differential equation
The initial boundary value problem of a mixed-typed hemivariational inequality.
The Interaction Between instability and Local Truncation Error Estimate for Predictor - Corrector Methods
The interaction of linear boundary value and nonlinear functional conditions
The existence of solutions is studied for certain nonlinear differential equations with both linear and nonlinear conditions
The intervals of stability of Runge-Kutta methods after Richardson extrapolation
The invariant cone of slowly oscillating solutions to two delay differential equations.
The inverse carrier problem
The problem was motivated by Borůvka’s definitions of the carrier and the associated carrier. The inverse carrier problem is precisely defined and partially solved. Examples are given.
The inverse problem at fixed energy for finite range complex potentials
The inverse problem for the one-dimensional Schrödinger equation with an energy-dependent potential. I
The inverse problem for the one-dimensional Schrödinger equation with an energy-dependent potential. II
The inverse spectral problem for the Sturm-Liouville operators with discontinuous coefficients.
The Kneser property for abstract retarded functional differential equations with infinite delay.
The Kneser property for the abstract Cauchy problem
We establish existence of mild solutions for the semilinear first order functional abstract Cauchy problem and we prove that the set of mild solutions of this problem is connected in the space of continuous functions.