Existence and stability of measure differential equations
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 of a classical solution to a functional-differential abstract nonlocal Cauchy problem.
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 periodic solutions of linear differential equations in Banach spaces
Existence and uniqueness of positive and nondecreasing solutions for a class of singular fractional boundary value problems.
Existence and uniqueness of positive solutions for a third-order three-point problem on time scales.
Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order
Two-term semi-linear and two-term nonlinear fractional differential equations (FDEs) with sequential Caputo derivatives are considered. A unique continuous solution is derived using the equivalent norms/metrics method and the Banach theorem on a fixed point. Both, the unique general solution connected to the stationary function of the highest order derivative and the unique particular solution generated by the initial value problem, are explicitly constructed and proven to exist in an arbitrary...
Existence and uniqueness of solution for fractional differential equations with integral boundary conditions.
Existence and uniqueness of solutions for boundary value problems to the singular one-dimension -Laplacian.
Existence and uniqueness of solutions for coupled systems of higher-order nonlinear fractional differential equations.
Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space
Existence and uniqueness of solutions for singular higher order continuous and discrete boundary value problems.
Existence and uniqueness of solutions for the Cauchy-type problems of fractional differential equations.
Existence and uniqueness of solutions to dynamical unilateral contact problems with coulomb friction: the case of a collection of points
This study deals with the existence and uniqueness of solutions to dynamical problems of finite freedom involving unilateral contact and Coulomb friction. In the frictionless case, it has been established [P. Ballard, Arch. Rational Mech. Anal. 154 (2000) 199–274] that the existence and uniqueness of a solution to the Cauchy problem can be proved under the assumption that the data are analytic, but not if they are assumed to be only of class C∞. Some years ago, this finding was extended [P. Ballard...
Existence and uniqueness of solutions to fractional semilinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions.
Existence and uniqueness of solutions to impulsive fractional differential equations.
Existence and uniqueness theorem for a solution of fuzzy differential equations.
Existence and Uniqueness Theorem for Singular Initial Value Problems and Applications