A Sturm separation theorem for a linear -th order self-adjoint differential equation.
A subshift of finite type in the Takens-Bogdanov bifurcation with symmetry.
A sufficient condition for a polynomial centre to be global
A sufficient condition is given in order that a centre of a polynomial planar autonomous system be a global centre.
A sufficient condition for the existence of multiple periodic solutions of differential inclusions
A Sufficient Disconjugacy Condition for the Third Order Differential Equation
A super-integrable two-dimensional nonlinear oscillator with an exactly solvable quantum analog.
A survey on homoclinic and heterocolinic orbits.
A survey on oscillation of impulsive ordinary differential equations.
A system of coupled oscillators with magnetic terms: symmetries and integrals of motion.
A Theorem on Non-Associative Algebras and its Application to Differential Equations.
A three-species food chain system with two types of functional responses.
A tight bound of modified iterative hard thresholding algorithm for compressed sensing
We provide a theoretical study of the iterative hard thresholding with partially known support set (IHT-PKS) algorithm when used to solve the compressed sensing recovery problem. Recent work has shown that IHT-PKS performs better than the traditional IHT in reconstructing sparse or compressible signals. However, less work has been done on analyzing the performance guarantees of IHT-PKS. In this paper, we improve the current RIP-based bound of IHT-PKS algorithm from to , where is the restricted...
A Tikhonov-type theorem for abstract parabolic differential inclusions in Banach spaces
We consider a class of singularly perturbed systems of semilinear parabolic differential inclusions in infinite dimensional spaces. For such a class we prove a Tikhonov-type theorem for a suitably defined subset of the set of all solutions for ε ≥ 0, where ε is the perturbation parameter. Specifically, assuming the existence of a Lipschitz selector of the involved multivalued maps we can define a nonempty subset of the solution set of the singularly perturbed system. This subset is the set of...
A Time-dependent Biochemical System
A two parameters Ambrosetti-Prodi problem.
A useful proposition to nonlinear differential systems with a solution of the prescribed asymptotic properties
A variant of the Smale's model for flocks formation.
A variational approach to homoclinic orbits in Hamiltonian systems.
A vector functional equation and linear differential equations.
A version of non-Hamiltonian Liouville equation
In this paper we give a version of the theorem on local integral invariants of systems of ordinary differential equations. We give, as an immediate conclusion of this theorem, a condition which guarantees existence of an invariant measure of local dynamical systems. Results of this type lead to the Liouville equation and have been frequently proved under various assumptions. Our method of the proof is simpler and more direct.