A survey of partial differential equations with piecewise continuous arguments.
A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative.
A survey on the oscillation of solutions of first order linear differential equations with deviating arguments.
A system of abstract measure delay differential equations.
A system of non-linear functional differential equations arising in an equilibrium model of an economy with borrowing constraints
A Team Approach to Undergraduate Research in Biomathematics: Balance Control
The question, how does an organism maintain balance? provides a unifying theme to introduce undergraduate students to the use of mathematics and modeling techniques in biological research. The availability of inexpensive high speed motion capture cameras makes it possible to collect the precise and reliable data that facilitates the development of relevant mathematical models. An in–house laboratory component ensures that students have the opportunity...
A topological version of the Ambrosetti-Prodi theorem
The existence of at least two solutions for nonlinear equations close to semilinear equations at resonance is obtained by the degree theory methods. The same equations have no solutions if one slightly changes the right-hand side. The abstract result is applied to boundary value problems with specific nonlinearities.
A viability result for nonconvex semilinear functional differential inclusions
We establish some sufficient conditions in order that a given locally closed subset of a separable Banach space be a viable domain for a semilinear functional differential inclusion, using a tangency condition involving a semigroup generated by a linear operator.
About a problem arising in chemical reactor theory.
About asymptotic and oscillation properties of the Dirichlet problem for delay partial differential equations.
About differential inequalities for nonlocal boundary value problems with impulsive delay equations
We propose results about sign-constancy of Green's functions to impulsive nonlocal boundary value problems in a form of theorems about differential inequalities. One of the ideas of our approach is to construct Green's functions of boundary value problems for simple auxiliary differential equations with impulses. Careful analysis of these Green's functions allows us to get conclusions about the sign-constancy of Green's functions to given functional differential boundary value problems, using the...
About -positivity properties of time-invariant linear systems subject to point delays.
About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory.
About robust stability of dynamic systems with time delays through fixed point theory.
Absolute stability of nonlinear systems with time delays and applications to neural networks.
Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations.
Adams Methods for Neutral Functional Differential Equations.
Adaptive finite-time synchronization of cross-strict feedback hyperchaotic systems with parameter uncertainties
This paper is concerned with the finite-time synchronization problem for a class of cross-strict feedback underactuated hyperchaotic systems. Using finite-time control and backstepping control approaches, a new robust adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. Appropriate adaptive laws are derived to deal with the unknown parameters of the systems. The proposed method can be applied to a variety...
Adaptive pinning synchronization of complex networks with stochastic perturbations.
Addendum to asymptotic stability in differential equations with unbounded delay.