[PDF] Top 20 A periodic boundary value problem for nonlinear singular differential systems with ‘maxima’

... Recently, singular differential systems introduced by Rosenbrock [], are studied be- cause they have many applications in practical fields, such as non-Newtonian fluid me- chanics, optimal control problems, ... See full document

... study boundary condition () in the case when the function g(x, y) is nondecreasing with respect to its second argument ...anti-periodic boundary value problem is a partial case of ... See full document

... antiperiodic boundary value problem for nonlinear impulsive fractional differential ...and nonlinear alternative of Leray-Schauder type theorem, some existence results of solutions are ... See full document

... a boundary value problem of fractional differential equations, we firstly define a Banach space X, then we transform the boundary value problem into a integral equation ... See full document

... The study of differential equations and variational problems with nonstandard pr- growth conditions is a new and interesting topic. It arises from nonlinear elasticity theory, electrorheological fluids, image ... See full document

... The principles of the theory of singular boundary value problems were built by Kigu- radze in his study []. This theory has been intensively developed and studied with suffi- cient completeness both ... See full document

... of boundary value problems with general singular differential operator is ...The nonlinear term in the boundary value problem is sign-changing and may be unbounded from ... See full document

... similar problem but in a different ...of periodic solutions of nonlinear dynamical ...of boundary value problems were studied, the results of the present pa- per allow one to study the ... See full document

... with periodic boundary value conditions, where certain nonlinear growth conditions of the nonlinearity need to be ...The problem is issued by applying the Leggett– Williams norm-type ... See full document

... to boundary value problems for fractional differential equations have gained these days interest of many ...coupled systems and unique- ness for nth-order differential equations, ...on boundary ... See full document

... years, singular boundary value problems to second ordinary differential equations have been studied extensively (see ...order singular boundary value problems of a coupled ... See full document

... a singular boundary value problem for a class of nonlinear fractional differential equations with non-monotone ...the problem is also ... See full document

... a periodic boundary value problem of nonlinear first order ordinary hybrid differential equations with a linear perturbation of second type via Dhage iteration ... See full document

... where x, y ∈ N. Clearly, the nonempty compact set S λv − , μv − is not a retract of its boundary ∂S {λv − , μv − } see, e.g., 16. All assumptions of topological principle of Wa ˙zewski are valid, and, by Theorem ... See full document

... function, periodic in with period , and T f is allowed to have a singularity when ...Non-singular systems, which are included in the same framework that we study here ... See full document

... In the paper we provide sufficient conditions for the existence of positive solutions for some second-order differential equation subject to periodic boundary conditions. Our method employs a Leggett-Williams ... See full document

... fractional differential equations on terms of special ...the nonlinear fractional differential equations boundary value problems, see ... See full document

... The boundary value problem (BVP) for parameterized singularly perturbed second order nonli- near ordinary differential equation is ...The boundary layer behavior of the solution and its ... See full document

... Recently, there are many works devoted to the existence of solutions to the Laplacian impulsive differential equation boundary value problems, for example 20–28. Many methods had been applied to deal with ... See full document

... It is known from the general theory of boundary value problems for functional di ff eren- tial equations that if is a monotone operator, then problem (1.1), (1.2) has the Fredholm property (see [3, ... See full document