A barrier method for quasilinear ordinary differential equations of the curvature type
A bifurcation result for Sturm-Liouville problems with a set-valued term.
A bound sets technique for Dirichlet problem with an upper-Carathéodory right-hand side
In this paper, the existence and the localization result will be proven for vector Dirichlet problem with an upper-Carathéodory right-hand side. The result will be obtained by combining the continuation principle with bound sets technique.
A boundary value problem arising in the flow of a viscous fluid
A boundary value problem of fractional order at resonance.
A certain type of partial differential equations on tori
The existence of classical solutions for some partial differential equations on tori is shown.
A characterization of the existence of solutions to some higher order boundary value problems
The aim of this short note is to present a theorem that characterizes the existence of solutions to a class of higher order boundary value problems. This result completely answers a question previously set by the authors in [Differential Integral Equations 6 (1993), 1119–1123].
A convergence theorem on the iterative solution of nonlinear two-point boundary-value systems
A four-point problem for second-order differential systems
A fourth-order boundary value problem with one-sided Nagumo condition.
A Galerkin Method with Modified Piecewise Polynomials for Solving a Second-Order Boundary Value Problem.
A generalization of the Landesman-Lazer condition.
A generalized Fuc̆ik type eigenvalue problem for p-Laplacian.
A generalized periodic boundary value problem for the one-dimensional p-Laplacian
The generalized periodic boundary value problem -[g(u’)]’ = f(t,u,u’), a < t < b, with u(a) = ξu(b) + c and u’(b) = ηu’(a) is studied by using the generalized method of upper and lower solutions, where ξ,η ≥ 0, a, b, c are given real numbers, , p > 1, and f is a Carathéodory function satisfying a Nagumo condition. The problem has a solution if and only if there exists a lower solution α and an upper solution β with α(t) ≤ β(t) for a ≤ t ≤ b.
A generalized upper and lower solutions method for nonlinear second order ordinary differential equations.
A global curve of stable, positive solutions for a -Laplacian problem.
A global description of the positive solutions of sublinear second-order discrete boundary value problems.
A Hartman-Nagumo inequality for the vector ordinary -Laplacian and applications to nonlinear boundary value problems.
A method of discretization for the Lagerström-Cole model equation.
A minimax inequality for a class of functionals and applications to the existence of solutions for two-point boundary-value problems.