On the worst scenario method: Application to uncertain nonlinear differential equations with numerical examples
On two-point boundary value problems for systems of higher-order ordinary differential equations with singularities.
On two-point boundary value problems for systems of ordinary non-linear, first-order differential equations
On two-points boundary value problems for ordinary nonlinear differential equations of the fourth order in the Colombeau algebra
On uniqueness conditions for decreasing solutions of semilinear elliptic equations.
On Urabe's application of Newton's method to nonlinear boundary value problems
On vector boundary value problems without growth restrictions.
One-dimensional elliptic equation with concave and convex nonlinearities.
One-step methods for ordinary differential equations with parameters
In the present paper we are concerned with the problem of numerical solution of ordinary differential equations with parameters. Our method is based on a one-step procedure for IDEs combined with an iterative process. Simple sufficient conditions for the convergence of this method are obtained. Estimations of errors and some numerical examples are given.
One-step methods for two-point boundary value problems in ordinary differential equations with parameters
A general theory of one-step methods for two-point boundary value problems with parameters is developed. On nonuniform nets , one-step schemes are considered. Sufficient conditions for convergence and error estimates are given. Linear or quadratic convergence is obtained by Theorem 1 or 2, respectively.
Operator type expansion-compression fixed point theorem.
Opposing flows in a one dimensional convection-diffusion problem
In this paper, we examine a particular class of singularly perturbed convection-diffusion problems with a discontinuous coefficient of the convective term. The presence of a discontinuous convective coefficient generates a solution which mimics flow moving in opposing directions either side of some flow source. A particular transmission condition is imposed to ensure that the differential operator is stable. A piecewise-uniform Shishkin mesh is combined with a monotone finite difference operator...
Optimal control of combined therapy in a single strain HIV-1 model.
Optimal Lyapunov inequalities and applications to nonlinear problems
Optimality and existence for Lipschitz equations.
Optimization of the principal eigenvalue of the one-dimensional Schrödinger operator.
Optimizing chemotherapy in an HIV model.
Ordinary differential equations with nonlinear boundary conditions.
Oscillation of the solution to a singular differential equation.