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 Principal Values, Complete Monotonicity of Logarithmic Derivatives of Principal Solutions, and Oscillation Theorems.
Uniqueness of rapidly oscillating periodic solutions to a singularly perturbed differential-delay equation.
Uniqueness of solutions for fourth-order nonlocal boundary value problems.
Uniqueness of solutions to integrodifferential and functional integrodifferential equations.
Uniqueness of the Rothe method for the Burgers equation with piecewise continuous initial data
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.
Uniqueness theorem for -biharmonic equations.
Uniqueness without continuous dependence
Universal isomonodromic deformations of meromorphic rank 2 connections on curves
We consider tracefree meromorphic rank 2 connections over compact Riemann surfaces of arbitrary genus. By deforming the curve, the position of the poles and the connection, we construct the global universal isomonodromic deformation of such a connection. Our construction, which is specific to the tracefree rank 2 case, does not need any Stokes analysis for irregular singularities. It is thereby more elementary than the construction in arbitrary rank due to B. Malgrange and I. Krichever and it includes...
Univerzální diferenciální rovnice (Věnováno památce Waltera Strodta)
Untere Schranken für die Eigenwerte Stekloffscher Eigenwertaufgaben
Upper and lower bounds of solutions for fractional integral equations.
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.
Upper and lower solutions for singularly perturbed semilinear Neumann's problem
The paper establishes sufficient conditions for the existence of solutions of Neumann’s problem for the differential equation which tend to the solution of the reduced problem on as
Upper and lower solutions method and a fractional differential equation boundary value problem.
Upper and lower solutions method for a class of singular fractional boundary value problems with -Laplacian operator.
Upper and lower solutions method for discrete inclusions with nonlinear boundary conditions.