Existence and stability of solutions for nonlinear Mecking-Lucke-Grilhe equations.
Existence and stability of solutions for semilinear Dirichlet problems
We provide existence and stability results for semilinear Dirichlet problems with nonlinearities satisfying some general local growth conditions. We derive a general abstract result which we then apply to prove the existence of solutions, their stability and continuous dependence on parameters for a sixth order ODE with Dirichlet type boundary data.
Existence and uniqueness for dynamical unilateral contact with Coulomb friction : a model problem
A simple dynamical problem involving unilateral contact and dry friction of Coulomb type is considered as an archetype. We are concerned with the existence and uniqueness of solutions of the system with Cauchy data. In the frictionless case, it is known [Schatzman, Nonlinear Anal. Theory, Methods Appl. 2 (1978) 355–373] that pathologies of non-uniqueness can exist, even if all the data are of class . However, uniqueness is recovered provided that the data are analytic [Ballard, Arch. Rational Mech....
Existence and uniqueness for dynamical unilateral contact with Coulomb friction: a model problem
A simple dynamical problem involving unilateral contact and dry friction of Coulomb type is considered as an archetype. We are concerned with the existence and uniqueness of solutions of the system with Cauchy data. In the frictionless case, it is known [Schatzman, Nonlinear Anal. Theory, Methods Appl.2 (1978) 355–373] that pathologies of non-uniqueness can exist, even if all the data are of class C∞. However, uniqueness is recovered provided that the data are analytic [Ballard, Arch. Rational...
Existence and uniqueness for the predator-prey model with diffusion in the scalar case.
We solve the problem of the existence and uniqueness of coexistence states for the classical predator-prey model of Lotka-Volterra with diffusion in the scalar case.
Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem.
Existence and uniqueness of a positive solution for a third-order three-point boundary-value problem.
Existence and uniqueness of a positive steady state solution for a logistic system of differential difference equations.
Existence and uniqueness of analytic solutions of the Shabat equation.
Existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems
We study the existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems. Our results are based on Schauder's fixed point theorem and the Banach contraction principle fixed point theorem. Examples are provided to illustrate the main results.
Existence and uniqueness of nontrivial solutions for nonlinear higher-order three-point eigenvalue problems on time scales.
Existence and uniqueness of periodic solution for nonlinear second-order ordinary differential equations.
Existence and uniqueness of periodic solutions for a class of nonlinear equations with -Laplacian-like operators.
Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments
We use the coincidence degree to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Duffing equation with two deviating arguments of the form x'' + Cx'(t) + g₁(t,x(t-τ₁(t))) + g₂(t,x(t-τ₂(t))) = p(t).
Existence and uniqueness of periodic solutions for a kind of nonlinear nth order differential equations with delays
By applying the continuation theorem of coincidence degree theory, we establish new results on the existence and uniqueness of 2π-periodic solutions for a class of nonlinear nth order differential equations with delays.
Existence and uniqueness of periodic solutions for a second-order nonlinear differential equation with piecewise constant argument.
Existence and uniqueness of periodic solutions for first-order neutral functional differential equations with two deviating arguments.
Existence and uniqueness of periodic solutions for odd-order ordinary differential equations
The paper deals with the existence and uniqueness of 2π-periodic solutions for the odd-order ordinary differential equation , where is continuous and 2π-periodic with respect to t. Some new conditions on the nonlinearity to guarantee the existence and uniqueness are presented. These conditions extend and improve the ones presented by Cong [Appl. Math. Lett. 17 (2004), 727-732].
Existence and uniqueness of periodic solutions of linear differential equations in Banach spaces
Existence and uniqueness of periodic solutions of mixed monotone functional differential equations.