A note on periodic solutions of second order nonautonomous singular coupled systems.
A note on radial nonlinear Schrödinger systems with nonlinearity spatially modulated.
A note on rapid convergence of approximate solutions for second order periodic boundary value problems
In this paper, we develop a generalized quasilinearization technique for a nonlinear second order periodic boundary value problem and obtain a sequence of approximate solutions converging uniformly and quadratically to a solution of the problem. Then we improve the convergence of the sequence of approximate solutions by establishing the convergence of order
A note on solutions of semilinear equations at resonance in a cone
A connection between the Landesman-Lazer condition and the solvability of the equation Lx = N(x) in a cone with a noninvertible linear operator L is studied. The result is based on the abstract framework from [5], applied to the existence of periodic solutions of ordinary differential equations, and compared with theorems by Santanilla (see [7]).
A note on some characterization of invariant zeros in singular systems and algebraic criteria of nondegeneracy
The question how the classical definition of the Smith zeros of an LTI continuous-time singular control system can be generalized and related to state-space methods is discussed. The zeros are defined as those complex numbers for which there exists a zero direction with a nonzero state-zero direction. Such a definition allows an infinite number of zeros (then the system is called degenerate). A sufficient and necessary condition for nondegeneracy is formulated. Moreover, some characterization of...
A note on stability properties of integrated semigroups
A Note on Strict Solutions to Semilinear Evolution Equations.
A note on symmetries of invariant sets with compact group actions
A note on the asymptotic stability in the whole of non-autonomous systems.
A note on the boundary curves of second order nonlinear differential equations
A note on the Cauchy problem for first order linear differential equations with a deviating argument
Conditions for the existence and uniqueness of a solution of the Cauchy problem established in [2], are formulated more precisely and refined for the special case, where the function maps the interval into some subinterval , which can be degenerated to a point.
A note on the comparison of C0-semigroups.
A Note on the Covergence of Solutions of a System of Differential Equations. (Short Communication).
A Note on the Covergence of Solutions of a System of Differential Equations.
A note on the criteria of uniqueness of the solution of equation
A note on the definiteness of the differential equations
A note on the difference schemes for hyperbolic equations.
A note on the difference schemes for hyperbolic-elliptic equations.
A note on the differential equation
A Note on the Divergence-Free Jacobian Conjecture in ℝ²
We give a shorter proof to a recent result by Neuberger [Rocky Mountain J. Math. 36 (2006)], in the real case. Our result is essentially an application of the global asymptotic stability Jacobian Conjecture. We also extend some of the results of Neuberger's paper.