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 and some new results on the existence of solutions of IPBVPs for first order functional differential equations
This paper deals with the periodic boundary value problem for nonlinear impulsive functional differential equation We first present a survey and then obtain new sufficient conditions for the existence of at least one solution by using Mawhin’s continuation theorem. Examples are presented to illustrate the main results.
A survey of partial differential equations with piecewise continuous arguments.
A survey of the spectral and differential geometric aspects of the generalized de Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems. I.
A survey of the spectral and differential geometric aspects of the generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems. II.
A survey on homoclinic and heterocolinic orbits.
A survey on nonlocal boundary value problems.
A survey on oscillation of impulsive ordinary differential equations.
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 symmetric solution of a multipoint boundary value problem at resonance.
A system of abstract measure delay differential equations.
A system of coupled oscillators with magnetic terms: symmetries and integrals of motion.
A system of non-linear functional differential equations arising in an equilibrium model of an economy with borrowing constraints
A Taylor Series Method for the Numerical Solution of Two-Point Boundary Value Problems.
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 theorem about Carathéodory's superposition
A Theorem on Average Liapunov Functions.
A theorem on continuous dependence on a parameter