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Search: authors:"Ravi P. Agarwal"

7 papers found.
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Boundary value problems on the half line in the theory of colloids

We present existence results for some boundary value problems defined on infinite intervals. In particular our discussion includes a problem which arises in the theory of colloids.

An upper and lower solution approach for a generalized Thomas–Fermi theory of neutral atoms

This paper presents an upper and lower solution theory for boundary value problems modelled from the Thomas–Fermi equation subject to a boundary condition corresponding to the neutral atom with Bohr radius.

Boundary value problems on the half line in the theory of colloids

We present existence results for some boundary value problems defined on infinite intervals. In particular our discussion includes a problem which arises in the theory of colloids.

An upper and lower solution approach for a generalized Thomas–Fermi theory of neutral atoms

This paper presents an upper and lower solution theory for boundary value problems modelled from the Thomas–Fermi equation subject to a boundary condition corresponding to the neutral atom with Bohr radius.

Monotone methods for solving a boundary value problem of second order discrete system

A new concept of a pair of upper and lower solutions is introduced for a boundary value problem of second order discrete system. A comparison result is given. An existence theorem for a solution is established in terms of upper and lower solutions. A monotone iterative scheme is proposed, and the monotone convergence rate of the iteration is compared and analyzed. The numerical...

Existence criteria for singular initial value problems with sign changing nonlinearities

A general existence theory is presented for initial value problems where our nonlinearity may be singular in its dependent variable and may also change sign.