[PDF] Top 20 General Periodic Boundary Value Problem for Systems

... 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 above mentioned articles, when some fixed point theorems or the nonlinear alter- native principle of Leray–Schauder in cones are applied to study the existence of periodic solutions of boundary ... See full document

... anti-periodic boundary value problem for im- pulsive delay difference ...anti-periodic boundary value problem ...anti-periodic boundary value ... See full document

... consequently, letting n → ∞ in (3.2), we see that u ∗ = P ◦ F(u ∗ ). By the definition of P, it is easy to see that u ∗ is the corresponding solution of the linear periodic boundary value ... See full document

... In this paper, we establish the existence of positive solutions PBVP (1.1), where 𝑔(𝑡) may be singular at 𝑡 = 0 and 𝑡 = 1, by using the first eigenvalue of the relevant linear problem and fixed point index theory ... See full document

... We note that the results on positive solutions or nontrivial solutions for other kinds of boundary value problems have been considered in many publications such as [–] and the references therein. The ... See full document

... 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 point of T in ... See full document

... Periodic solutions of functional differential equations are important in different applica- tions (see, for example, [–] and the references therein, and also works on the general theory of boundary ... See full document

... are systems in which the variables take their values at instantaneous time ...time systems differ from continuous time ones in that their signals are in the form of sampled ...real systems, the ... See full document

... impulsive boundary value problems concern the case with fixed moments of impulsive ...initial value problems or periodic ...initial value problems [–] or solvability of autonomous ... 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

... Linear boundary value problems (BVPs) for differential equations with ordinary deriva- tives that lack the everywhere and unique solvability are met with in various ...[]. General results concerning ... See full document

... mentioned equation. More precisely, we formulated conditions on a function g , which guarantee that the graph of at least one solution for the above-mentioned equation stays in the prescribed domain. These results ... See full document

... of general boundary value problems for functional differential equations (see, ...the general theory of bound- ary value problems for functional differential equations is not still ... See full document

... of problem ()-(). This problem is a generalization of problems studied in the papers [–] which are devoted to the second-order differential ...or boundary value problems for the first- or ... 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

... the general theory of boundary value problems for functional di ff eren- tial equations that if is a monotone operator, then problem ... See full document

... The goal of our paper is to provide sufficient conditions that ensure the existence of pos- itive solutions of () with the function h positive on [, T ]. Our general result is illustrated by two examples. The ... See full document

... KEY WORDS AND PHRASES: Integro-Differential Equation, Upper and Lower Solutions, Carath6odory function 1991 AMS SUBJECT CLASSIFICATION CODES: /45J05 INTRODUCTION The purpose of this pape[r] ... See full document

... this paper is as follows. In Section , we prove some basic lemmas which are needed in suc- ceeding sections. In Section , under suitable conditions, we prove quadratic convergence of monotone sequences to the solution ... See full document