-stability of dynamic equations on time scales with nonregressivity.
Half-explicit Runge-Kutta methods for semi-explicit differential-algebraic equations of index 1.
Hamilton’s Principle with Variable Order Fractional Derivatives
MSC 2010: 26A33, 70H25, 46F12, 34K37 Dedicated to 80-th birthday of Prof. Rudolf GorenfloWe propose a generalization of Hamilton’s principle in which the minimization is performed with respect to the admissible functions and the order of the derivation. The Euler–Lagrange equations for such minimization are derived. They generalize the classical Euler-Lagrange equation. Also, a new variational problem is formulated in the case when the order of the derivative is defined through a constitutive equation....
Hardy fields and existence of transexponential functions.
Heavy viable trajectories of controlled systems
Herbivore harvesting and alternative steady states in coral reefs
Coral reefs can undergo relatively rapid changes in the dominant biota, a phenomenon referred to as phase shift. Degradation of coral reefs is often associated with changes in community structure towards a macroalgae-dominated reef ecosystem due to the reduction in herbivory caused by overfishing. We investigate the coral-macroalgal phase shift due to the effects of harvesting of herbivorous reef fish by means of a continuous time model in the food chain. Conditions for local asymptotic stability...
Herleitung einer integrabeln Differentialgleichung mittels der Liouville'schen Methode der Differentiation mit belibigem Zeiger
Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation
This work is devoted to the numerical simulation of the Vlasov equation using a phase space grid. In contrast to Particle-In-Cell (PIC) methods, which are known to be noisy, we propose a semi-Lagrangian-type method to discretize the Vlasov equation in the two-dimensional phase space. As this kind of method requires a huge computational effort, one has to carry out the simulations on parallel machines. For this purpose, we present a method using patches decomposing the phase domain, each patch being...
He's variational iteration method for solving fractional Riccati differential equation.
High order explicit Runge-Kutta pairs for ephemerides of the solar system and the Moon.
Higher monotonicity properties of certain Sturm-Liouville functions
Higher monotonicity properties of -th derivatives of solutions of
Higher monotonicity properties of special functions: application on Bessel case
Higher monotonicity properties of zero points of the linear combination of the solution and its first derivative of the differential equation
Higher order singular perturbation method for linear differential equations in Banach spaces
Higher-index differential-algebraic equations: analysis and numerical treatment
Higher-order approximate periodic solutions of a nonlinear oscillator with discontinuity by variational approach.
Higher-order differential equations represented by connections on prolongations of a fibered manifold.
The main goal of the present work is a generalization of the ideas, constructions and results from the first and second-order situation, studied in [63], [64] to that of an arbitrary finite-order one. Moreover, the investigation extends the ideas of [65] from the one-dimensional base X corresponding to O.D.E.
Higher-order linear matrix descriptor differential equations of Apostol-Kolodner type.
Homogene lineare zu sich selbst begleitende Differentialgleichung zweiter Ordnung