Über Maximale Monotonie von Operatoren des Typs L*... L.
Un risultato di molteplicità di soluzioni per problemi ai limiti semilineari
Unbounded solutions of BVP for second order ODE with -Laplacian on the half line
By applying the Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three unbounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature.
Unbounded upper and lower solution method for third-order boundary-value problems on the half-line.
Uniform Fourth Order Difference Scheme for a Singular Perturbation Problem.
Uniform methods for semilinear problems with an attractive boundary turning point.
Uniformly enclosing discretization methods and grid generation for semilinear boundary value problems with first order terms
The paper deals with uniformly enclosing discretization methods of the first order for semilinear boundary value problems. Some fundamental properties of this discretization technique (the enclosing property, convergence, the inverse-monotonicity) are proved. A feedback grid generation principle using information from the lower and upper solutions is presented.
Uniformly enclosing discretization methods for semilinear boundary value problems
Unique solution of periodic boundary value problems.
Unique solvability for a second order nonlinear system via two global inversion theorems.
Unique solvability of a linear problem with perturbed periodic boundary values
We investigate the problem with perturbed periodic boundary values with for some arbitrary positive real number , by transforming the problem into an integral equation with the aid of a piecewise polynomial and utilizing the Fredholm alternative theorem to obtain a condition on the uniform norms of the coefficients , and which guarantees unique solvability of the problem. Besides having theoretical value, this problem has also important applications since decay is a phenomenon that all...
Uniqueness and multiplicity of solutions for a second-order discrete boundary value problem with a parameter.
Uniqueness implies existence of solutions for nonlinear point boundary value problems for nth order differential equations.
Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions.
Uniqueness of positive solutions of a class of ODE with nonlinear boundary conditions.
Uniqueness of positive solutions of nonlinear second order systems.
In this paper we discuss the uniqueness of positive solutions of the nonlinear second order system -u'' = g(v), -v'' = f(u) in (-R,R), u(±R) = v(±R) = 0 where f and g satisfy some appropriate conditions. Our result applies, in particular, to g(v) = v, f(u) = up, p > 1, or f(u) = λu + a1up1 + ... + akupk, with pj > 1, aj > 0 for j = 1, ..., k and 0 ≤ λ < μ12 where μ1 = π2/4R2.
Uniqueness of solutions for fourth-order nonlocal boundary value problems.
Uniqueness of very singular self-similar solution of a quasilinear degenerate parabolic equation with absorption.
We show the uniqueness of the very singular self-similar solution of the equationut - Δ pum + uq = 0.The result is carried out by studying the stationary associate equation and by introducing a suitable change of unknown. That allows to assume the zero-order perturbation term in the new equation to be monotone increasing. A careful study of the behaviour of solutions near the boundary of their support is also used in order to prove the main result.
Upper and lower solutions for a second-order three-point singular boundary-value problem.
Upper and lower solutions for first order problems with nonlinear boundary conditions.