[PDF] Top 20 Existence and uniqueness of solutions for the second order periodic-integrable boundary value problem

... Define the linear operator T : C → C. For each x ∈ C, T [x](t) = y(t) is the unique solution of (). Thus, the existence of the solution of Problem () is equivalent to the existence of the fixed ... See full document

... Anti-periodic boundary value problems (classical and fractional), recently have received great attention as they occur in the mathematical modeling of a diversity of physical processes (see [2], [3], ... See full document

... fractional order differential equations in var- ious fields of sciences such as Engineering, Mathematics, Chemistry, etc [10, 11, 15– 17, 21], attracted the interest of many modern ...fractional order ... See full document

... However, to the best of our knowledge, the literature on the existence and uniqueness of solutions on the half-line for delay differential equations seems to be rather limited. Motivated by the papers ... See full document

... of second order periodic-integrable boundary value ...the existence and uniqueness of solutions for the problem under Lazer type nonresonant ... See full document

... tions, e and g respectively denote the T -periodic and T -periodic in the first argument and T > . However, to the best of our knowledge, most authors mentioned above have only considered the ... See full document

... the integrable boundary value condition, the existence and uniqueness of the solutions of this equation are discussed by using new Riesz representations of linear maps and the ... See full document

... Motivated by above works, under various appropriate assumptions on p , q and K t ( ) , we will obtain the existence and uniqueness of positive solution of problem (1.1) for λ in different ... See full document

... Higher-order boundary value problems were discussed in many papers in recent years; for instance, see 1–22 and references ...the boundary conditions in the above-mentioned references are for ... See full document

... HY carried out the study of the two-parameter nonresonance conditions for periodic boundary value problems, participated in the proof of the main results and drafted the manuscript. YL participated ... See full document

... the existence and uniqueness of fixed points of maps sat- isfying the C-condition on metric spaces and on partially ordered metric ...the existence and uniqueness of solutions of a first ... See full document

... the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional differential equations and inclusions of order q Î (1, 2] with nonlocal ... See full document

... the existence and uniqueness of solutions for an impulsive mixed boundary value problem of nonlinear differential equations of fractional order are ... See full document

... the existence of solutions for a non local fractional boundary value problem with integral ...New existence and uniqueness results are established using Banach fixed point ... See full document

... stand it in the following sense. If the element h ∈ Ker p F (p) (x ∗ ), then there exists r(t) such that r(t) = o(t) and x ∗ + th + r(t) ∈ M, i.e., F(x ∗ + th + r(t)) = . However, the guarantee of the existence ... See full document

... 1 − H(β + γ) . (3.11) As a result, we obtain the desired bound. We see that the bound on all possible solutions to (3.4) is independent of λ. Applying Scheafer fixed point theorem, A has at least one fixed point, ... See full document

... where G is the Green’s function associated with problem (1.1)-(1.2). Our considerations are put in L 1 (I), the Banach space consisting of all real functions defined and Lebesgue integrable on the interval I ... 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 ... See full document

... the existence and multiplicity of solutions for Hamiltonian systems via critical point theory have been studied by many authors (see [2, 5–10, ...the existence and multiplicity of periodic ... See full document

... the existence and approximation of the solutions for an initial and a periodic boundary value problem of nonlinear first order ordinary hybrid differential equations with ... See full document