Addendum to the paper: “Some fixed point theorems for multivalued mappings”
Addition à un mémoire sur les équations différentielles linéaires
Addition theorems for solutions to linear homogeneous constant coefficient ordinary differential equations. (Short Communication).
Addition theorems for solutions to linear homogeneous constant coefficient ordinary differential equations.
Additions To Kamke's Treatise II: Nonlinear First And Second Order Differential Equations
Additions to Kamke's treatise VI: A nonlinear second order equation.
Adjoint differential inclusions in necessary conditions for the minimal trajectories of differential inclusions
Adjoint operators and boundary value problems for linear differential equations
Admissible spaces for a first order differential equation with delayed argument
We consider the equation where and () are positive continuous functions for all and . By a solution of the equation we mean any function , continuously differentiable everywhere in , which satisfies the equation for all . We show that under certain additional conditions on the functions and , the above equation has a unique solution , satisfying the inequality where the constant does not depend on the choice of .
Aerodynamic deceleration at velocities near the escape velocity
This article presents basic procedures for calculating the trajectory of a spaceship that uses only the Earth’s atmosphere to reduce its speed, allowing it to land on the Earth’s surface successfully. The first flight of the ARTEMIS program, which took place from November 16 to December 11 2022, was used as a template for the calculations. All calculations are performed in the symbolic algebra program Maple. To simplify the calculations, forces that have a less significant impact on the shape of...
Affinity integral manifolds for impulsive differential equations.
Affinor structures in the oscillation theory
In this paper we consider the system of Hamiltonian differential equations, which determines small oscillations of a dynamical system with n parameters. We demonstrate that this system determines an affinor structure J on the phase space TRⁿ. If J² = ωI, where ω = ±1,0, the phase space can be considered as the biplanar space of elliptic, hyperbolic or parabolic type. In the Euclidean case (Rⁿ = Eⁿ) we obtain the Hopf bundle and its analogs. The bases of these bundles are, respectively, the projective...
Algebraic curve solution for second-order polynomial autonomous systems.
Algebraic elements in the transformation theory of 2nd order linear oscillatory differential equations
Algebraic integrability for minimum energy curves
This paper deals with integrability issues of the Euler-Lagrange equations associated to a variational problem, where the energy function depends on acceleration and drag. Although the motivation came from applications to path planning of underwater robot manipulators, the approach is rather theoretical and the main difficulties result from the fact that the power needed to push an object through a fluid increases as the cube of its speed.
Algebraic properties of phases of the differential equation
Algebraic solutions of the Lamé equation
In this paper we give a summary of joint work with Alexa van der Waall concerning Lamé equations having finite monodromy. This research is the subject of van der Waall's Ph. D. thesis [W].
Algebraic structure of space and field.
Algebraic theory of right invertible operators
Algebraická štruktúra množiny hlavných hyperbolických fáz diferenciálnych rovníc v intervale