Quadratic convergence of approximate solutions to two-point boundary value problems with impulse.
Quadratic convergence of monotone iterations of differential-algebraic equations
Quadratic functionals: positivity, oscillation, Rayleigh's principle
In this paper we give a survey on the theory of quadratic functionals. Particularly the relationships between positive definiteness and the asymptotic behaviour of Riccati matrix differential equations, and between the oscillation properties of linear Hamiltonian systems and Rayleigh’s principle are demonstrated. Moreover, the main tools form control theory (as e.g. characterization of strong observability), from the calculus of variations (as e.g. field theory and Picone’s identity), and from matrix...
Quadratic functionals with a variable singular end point
In this paper we introduce the definition of coupled point with respect to a (scalar) quadratic functional on a noncompact interval. In terms of coupled points we prove necessary (and sufficient) conditions for the nonnegativity of these functionals.
Quadratic functionals with Euler’s equation
Quadratic homogeneous ODE systems of Jordan-rigid body type.
Quadratic Integrals of Linear Hamiltonian Systems.
Quadratic phases of differential equations
Qualitative behavior of a class of second order nonlinear differential equations on the halfline
A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Qualitative behavior of a generalized Emden-Fowler differential system
Qualitative investigation of nonlinear differential equations describing infiltration of water
A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.
Quasi-exact solvability of a hyperbolic intermolecular potential induced by an effective mass step.
Quasilinearization for the periodic boundary value problem for systems of impulsive differential equations.
Quasilinearization for the periodic boundary value problem for hybrid differential equation
The method of quasilinearization for a periodic boundary value problem for nonlinear hybrid differential equations is studied. It is shown that the convergence is quadratic.
Quasilinearization method and nonlocal singular three point boundary value problems.
Quasi-retractive representation of solution sets to stochastic inclusions.
Quasistatic processes for elastic-viscoplastic materials with internal state variables
Quelques formules fondamentales pour l'étude des équations différentielles algébriques du premier ordre et du second degré entre deux variables et à intégrale générale algébrique