Uniformly isochronous polynomial centers.
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...
Unique solvability of fractional functional differential equation on the basis of Vallée-Poussin theorem
We propose explicit tests of unique solvability of two-point and focal boundary value problems for fractional functional differential equations with Riemann-Liouville derivative.
Uniqueness and multiplicity of solutions for a second-order discrete boundary value problem with a parameter.
Uniqueness and parameter dependence of positive solution of fourth-order nonhomogeneous BVPs.
Uniqueness and parameter dependence of solutions of fourth-order four-point nonhomogeneous BVPs.
Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient
The Cauchy problem for a multidimensional linear transport equation with discontinuous coefficient is investigated. Provided the coefficient satisfies a one-sided Lipschitz condition, existence, uniqueness and weak stability of solutions are obtained for either the conservative backward problem or the advective forward problem by duality. Specific uniqueness criteria are introduced for the backward conservation equation since weak solutions are not unique. A main point is the introduction of a generalized...
Uniqueness criterion for solution of abstract nonlocal Cauchy problem.
Uniqueness for a class of cooperative systems of ordinary differential equations
Uniqueness for -th order differential systems with strong singularities.
Uniqueness implies existence of solutions for nonlinear point boundary value problems for nth order differential equations.
Uniqueness of a symmetric positive solution to an ODE system.
Uniqueness of initial value problems.
Uniqueness of limit cycles bounded by two invariant parabolas
In this paper we consider a class of cubic polynomial systems with two invariant parabolas and prove in the parameter space the existence of neighborhoods such that in one the system has a unique limit cycle and in the other the system has at most three limit cycles, bounded by the invariant parabolas.
Uniqueness of limit cycles for a class of cubic systems with two invariant straight lines.
Uniqueness of Monotone Mono-stable Waves for Reaction-Diffusion Equations with Time Delay
Many models in biology and ecology can be described by reaction-diffusion equations wit time delay. One of important solutions for these type of equations is the traveling wave solution that shows the phenomenon of wave propagation. The existence of traveling wave fronts has been proved for large class of equations, in particular, the monotone systems, such as the cooperative systems and some competition systems. However, the problem on the uniqueness of traveling wave (for a fixed wave speed)...
Uniqueness of periodic solution for a class of Liénard -Laplacian equations.
Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions.