Schwarzian derivatives of contact diffeomorphisms.
Seasonal effects on a Beddington-DeAngelis type predator-prey system with impulsive perturbations.
Second derivative linear multistep formula and its stability on the imaginary axis
Second method of Lyapunov and existence of periodic solutions of linear impulsive differential-difference equations.
Second method of Lyapunov for stability of linear impulsive differential-difference equations with variable impulsive perturbations.
Second order difference inclusions of monotone type
The existence of anti-periodic solutions is studied for a second order difference inclusion associated with a maximal monotone operator in Hilbert spaces. It is the discrete analogue of a well-studied class of differential equations.
Second order differential equations with complex-valued coefficients
Second order differential inequalities in Banach spaces
We derive monotonicity results for solutions of ordinary differential inequalities of second order in ordered normed spaces with respect to the boundary values. As a consequence, we get an existence theorem for the Dirichlet boundary value problem by means of a variant of Tarski's Fixed Point Theorem.
Second order linear differential systems
Second Order Nonlinear Differential Equations Equivalent To Linear Differential Equations
Second order nonlinear differential equations equivalent to linear differential equations.
Second order tangency conditions and differential inclusions: a counterexample and a remedy.
Second-order differential equations with deviating arguments.
Second-order differential inclusions with Lipschitz right-hand sides.
Selections and representations of multifunctions in paracompact spaces
Let (X,T) be a paracompact space, Y a complete metric space, a lower semicontinuous multifunction with nonempty closed values. We prove that if is a (stronger than T) topology on X satisfying a compatibility property, then F admits a -continuous selection. If Y is separable, then there exists a sequence of -continuous selections such that for all x ∈ X. Given a Banach space E, the above result is then used to construct directionally continuous selections on arbitrary subsets of ℝ × E.
Self similar solutions of generalized Burgers equation.
Semicontinuous differential inclusions
Semigeodesics and the minimal time function
We study the Hamilton-Jacobi equation of the minimal time function in a domain which contains the target set. We generalize the results of Clarke and Nour [J. Convex Anal., 2004], where the target set is taken to be a single point. As an application, we give necessary and sufficient conditions for the existence of solutions to eikonal equations.
Semigeodesics and the minimal time function
We study the Hamilton-Jacobi equation of the minimal time function in a domain which contains the target set. We generalize the results of Clarke and Nour [J. Convex Anal., 2004], where the target set is taken to be a single point. As an application, we give necessary and sufficient conditions for the existence of solutions to eikonal equations.
Semilinear evolution equations of the parabolic type
This paper is devoted to the investigation of the abstract semilinear initial value problem du/dt + A(t)u = f(t,u), u(0) = u₀, in the "parabolic" case.