Applications numériques de la dualité en mécanique hamiltonienne
Applications of contractive-like mapping principles to fuzzy equations
We recall a recent extension of the classical Banach fixed point theorem to partially ordered sets and justify its applicability to the study of the existence and uniqueness of solution for fuzzy and fuzzy differential equations. To this purpose, we analyze the validity of some properties relative to sequences of fuzzy sets and fuzzy functions.
Applications of global bifurcation to existence theorems for Sturm-Liouville problems
Applications of Lie systems in quantum mechanics and control theory
Some simple examples from quantum physics and control theory are used to illustrate the application of the theory of Lie systems. We will show, in particular, that for certain physical models both of the corresponding classical and quantum problems can be treated in a similar way, may be up to the replacement of the Lie group involved by a central extension of it. The geometric techniques developed for dealing with Lie systems are also used in problems of control theory. Specifically, we will study...
Applications of stability criteria to time delay systems.
Applications of the Carathéodory theorem to PDEs
We discuss and exploit the Carathéodory theorem on existence and uniqueness of an absolutely continuous solution x: ℐ (⊂ ℝ) → X of a general ODE for the right-hand side ℱ : dom ℱ ( ⊂ ℝ × X) → X taking values in an arbitrary Banach space X, and a related result concerning an extension of x. We propose a definition of solvability of (*) admitting all connected ℐ and unifying the cases “dom ℱ is open” and “dom ℱ = ℐ × Ω for some Ω ⊂ X”. We show how to use the theorems mentioned above to get approximate...
Applications of the method of barriers. I: Some boundary-value problems.
Applications of the method of barriers. II: Some singularly perturbed problems.
Applications of the smooth integral in the theory of weak solutions of ordinary differential equations
Applications of the spectral radius to some integral equations
In the paper [13] we proved a fixed point theorem for an operator , which satisfies a generalized Lipschitz condition with respect to a linear bounded operator , that is: The purpose of this paper is to show that the results obtained in [13], [14] can be extended to a nonlinear operator .
Approssimabilità degli zeri di una funzione mediante gli zeri di una sua espressione asintotica. Applicazione alle soluzioni delle equazioni differenziali lineari del secondo ordine
Approximate and relaxed solutions of differential inclusions
Approximate controllability of neutral functional differential system with unbounded delay.
Approximate controllability of semilinear neutral systems in Hilbert spaces.
Approximate inertial manifolds for nonlinear parabolic equations via steady-state determining mapping.
Approximate methods for calculating the period of oscillations for the generalized Lienard's differential equation
Approximate properties of principal solutions of Volterra-type integrodifferential equations with infinite aftereffect
The integrodifferential system with aftereffect (“heredity” or “prehistory”) dx/dt=Ax+-t R(t,s)x(s,)ds, is considered; here is a positive small parameter, is a constant matrix, is the kernel of this system exponentially decreasing in norm as . It is proved, if matrix and kernel satisfy some restrictions and does not exceed some bound , then the -dimensional set of the so-called principal two-sided solutions approximates in asymptotic sense the infinite-dimensional set of solutions...
Approximate solution of an inhomogeneous abstract differential equation
Recently, we have developed the necessary and sufficient conditions under which a rational function approximates the semigroup of operators generated by an infinitesimal operator . The present paper extends these results to an inhomogeneous equation .
Approximate solution of the nonlinear heat conduction equation in a semi-infinite domain.
Approximate solutions and error bounds for second order operator differential equations