Limit cycle for the Brusselator by He's variational method.
New trace bounds for the product of two matrices and their applications in the algebraic Riccati equation.
New estimates for the solution of the Lyapunov matrix differential equation.
Matrix bounds for the solution of the continuous algebraic Riccati equation.
New lower solution bounds for the continuous algebraic Riccati equation.
Trace inequalities for matrix products and trace bounds for the solution of the algebraic Riccati equations.
A new upper bound for the eigenvalues of the continuous algebraic Riccati equation.
Three periodic solutions for a class of higher-dimensional functional differential equations with impulses
By using the well-known Leggett–Williams multiple fixed point theorem for cones, some new criteria are established for the existence of three positive periodic solutions for a class of n-dimensional functional differential equations with impulses of the form ⎧y’(t) = A(t)y(t) + g(t,yt), , j ∈ ℤ, ⎨ ⎩, where is a nonsingular matrix with continuous real-valued entries.
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