Monotone positive solution of nonlinear third-order BVP with integral boundary conditions.
Monotone positive solutions for -Laplacian equations with sign changing coefficients and multi-point boundary conditions.
Monotone semiflows generated by neutral equations with different delays in neutral and retarded parts.
Monotone solutions for a nonconvex functional differential inclusions of second order.
Monotone solutions of a nonautonomous differential equation for a sedimenting sphere.
Monotone technique for second order discontinuous differential inclusions.
Monotone trajectories of differential inclusions in Banach spaces.
Monotone trajectories of dynamical systems and Clarke's generalized Jacobian.
Monotone-iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step function.
Monotonic asymptotic stability of a class of solutions along the coordinates
Monotonic properties of zeros and extremants of the differential equation
Monotonicity and Boundedness in Implicit Runge-Kutta Methods.
Monotonicity and differential properties of the value functions in optimal control.
Monotonicity of the number of passages in linear chains and of the basis reproduction number in epidemic models.
Monotonicity of the period function for some planar differential systems. Part I: Conservative and quadratic systems
We first examine conditions implying monotonicity of the period function for potential systems with a center at 0 (in the whole period annulus). We also present a short comparative survey of the different criteria. We apply these results to quadratic Loud systems for various values of the parameters D and F. In the case of noncritical periods we propose an algorithm to test the monotonicity of the period function for . Our results may be viewed as a contribution to proving (or disproving) a conjecture...
Monotonicity of the period function for some planar differential systems. Part II: Liénard and related systems
We are interested in conditions under which the two-dimensional autonomous system ẋ = y, ẏ = -g(x) - f(x)y, has a local center with monotonic period function. When f and g are (non-odd) analytic functions, Christopher and Devlin [C-D] gave a simple necessary and sufficient condition for the period to be constant. We propose a simple proof of their result. Moreover, in the case when f and g are of class C³, the Liénard systems can have a monotonic period function...
Monotonicity of the period map of a non-Hamiltonian center.
Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string
In this paper we consider a parametric eigenvalue problem related to a vibrating string which is constructed out of two different materials. Using elementary analysis we show that the corresponding principal eigenvalue is increasing with respect to the parameter. Using a rearrangement technique we recapture a part of our main result, in case the difference between the densities of the two materials is sufficiently small. Finally, a simple numerical algorithm will be presented which will also provide...
Monotonicity properties of oscillatory solutions of differential equation
We obtain monotonicity results concerning the oscillatory solutions of the differential equation . The obtained results generalize the results given by the first author in [1] (1976). We also give some results concerning a special case of the above differential equation.
Monotonicity properties of the linear combination of derivatives of some special functions