About a problem arising in chemical reactor theory.
Affine-invariant monotone iteration methods with application to systems of nonlinear two-point boundary value problems
In this paper we present a new theorem for monotone including iteration methods. The conditions for the operators considered are affine-invariant and no topological properties neither of the linear spaces nor of the operators are used. Furthermore, no inverse-isotony is demanded. As examples we treat some systems of nonlinear ordinary differential equations with two-point boundary conditions.
Ambrosetti-Prodi type results in a system of second and fourth-order ordinary differential equations.
An application of the antimaximum principle for a fourth order periodic problem.
An application of the Leray-Schauder degree theory to boundary value problem for third and fourth order differential equations depending on the parameter
An elliptic problem with arbitrarily small positive solutions.
An existence and multiplicity result for a periodic boundary value problem
A periodic boundary value problem for nonlinear differential equation of the second order is studied. Nagumo condition is not assumed on a part of nonlinearity. Existence and multiplicity results are proved using the method of lower and upper solutions. Results are applied to the generalized Liénard oscillator.
An existence principle for nonlocal difference boundary value problems with -Laplacian and its application to singular problems.
An existence result for a multipoint boundary value problem on a time scale.
An existence theorem for a third-order three-point boundary value problem without growth restrictions
An existence theorem for periodic boundary value problems for systems of second order diffferential equations
An existence theorem of positive solutions to a singular nonlinear boundary value problem
In this note we consider the boundary value problem
An existence theorem of the Leray-Schauder type for four-point boundary value problems
An -system for a revolution surface without boundary.
An optimal existence theorem for positive solutions of a four-point boundary value problem.
An overview of the lower and upper solutions method with nonlinear boundary value conditions.
An upper and lower solution approach for a generalized Thomas-Fermi theory of neutral atoms.
Analytical approximation to solutions of singularly perturbed boundary value problems.
Another understanding of fourth-order four-point boundary-value problems.
Antiperiodic boundary value problems for finite dimensional differential systems.