A cantilever equation with nonlinear boundary conditions.
A difference method for a system of second order ordinary differential equations
A four-point problem for differential equations of the second order
A four-point problem for second-order differential systems
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 monotone method for constructing extremal solutions to second order periodic boundary value problems
We describe a constructive method which yields two monotone sequences that converge uniformly to extremal solutions to the periodic boundary value problem u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) in the presence of a lower solution α(t) and an upper solution β(t) with β(t) ≤ α(t).
A multidimensional singular boundary value problem of Cauchy-Nicoletti type.
A new a priori estimate for multi-point boundary-value problem.
A new approach for solving nonlinear BVP's on the half-line for second order equations and applications
We present a new approach to solving boundary value problems on noncompact intervals for second order differential equations in case of nonlocal conditions. Then we apply it to some problems in which an initial condition, an asymptotic condition and a global condition is present. The abstract method is based on the solvability of two auxiliary boundary value problems on compact and on noncompact intervals, and uses some continuity arguments and analysis in the phase space. As shown in the applications,...
A new Green function concept for fourth-order differential equations.
A nonlinear boundary value problem associated with the static equilibrium of an elastic beam supported by sliding clamps.
A non-resonant generalized multi-point boundary-value problem of Dirichlet type involving a p-Laplacian type operator.
A non-resonant multi-point boundary-value problem for a -Laplacian type operator.
A note on a beam equation with nonlinear boundary conditions.
A note on the existence of positive solutions of one-dimensional -Laplacian boundary value problems
This paper is concerned with the existence of positive solutions of a multi-point boundary value problem for higher-order differential equation with one-dimensional -Laplacian. Examples are presented to illustrate the main results. The result in this paper generalizes those in existing papers.
A numerical method for a singularly perturbed three-point boundary value problem.
A priori estimates and solvability of a non-resonant generalized multi-point boundary value problem of mixed Dirichlet-Neumann-Dirichlet type involving a -Laplacian type operator
This paper is devoted to the problem of existence of a solution for a non-resonant, non-linear generalized multi-point boundary value problem on the interval . The existence of a solution is obtained using topological degree and some a priori estimates for functions satisfying the boundary conditions specified in the problem.
A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations.
A priori estimates for the existence of a solution for a multi-point boundary value problem.
A remark on a nonlinear boundary value problem of the third order