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
Existence and uniqueness theorems for third order boundary value problems
Existence conditions for stabilizing and antistabilizing solutions to the nonautonomous matrix Riccati differential equation
Existence criteria for singular initial value problems with sign changing nonlinearities.
Existence for implicit differential equations in Banach spaces
We prove two existence results on abstract differential equations of the type and we give some applications of them to partial differential equations.
Existence of almost periodic solutions of systems of linear and quasilinear differential equations with time lag