[PDF] Top 20 Periodic boundary value problems for second order functional differential equations with impulse

... As we know, the fixed point theorem of cone expression and compression is extensively used to study the existence of multiple solutions of boundary value problems for second- order ... See full document

... Cauchy problems of differential equations involving Caputo fractional derivative, Riemann-Liouville and Hadamard fractional derivatives with order q ∈ ( 0, 1 ) ...fractional ... See full document

... studying boundary value problems for nonlinear differential equations; see 1 and the references ...to boundary value problems of functional differential ... See full document

... of periodic boundary value problems for second-order impulsive equations; see, for example, ...nonlinear problems; see ...to second- order ... See full document

... the periodic boundary value problems PBVPs for short for second-order ordinary or functional differential equations with or without impulse effects; see 1–24 ... See full document

... differential equations are important mathematical tools for providing a better understanding of many real-world ...differential equations and its applications, we refer the interested reader to [14] and ... See full document

... By Lemma ., the boundary value problem (.) has at least three nontrivial solutions containing a positive solution, a negative solution and a sign-changing solution. Remark By Theorem . and Theorem ... See full document

... other boundary value problems with different boundary conditions, including, as particular cases, the classical periodic, Neumann, and Sturm–Liouville problems, but involving the ... See full document

... We study the general semilinear second-order ODE u gt, u, u 0 under different two- point boundary conditions. Using the method of upper and lower solutions, we obtain an existence result. Moreover, ... See full document

... erential equations, which arise in physics, population dynamics, econom- ics, and so forth, are important mathematical tools for providing a better understanding of many real-world models, we refer to [1–5] and ... See full document

... Maximum principles present one of the classical parts of the qualitative theory of ordinary and partial differential equations 1. Although in many cases, speaking about maximum principles, authors mean quite ... See full document

... for boundary value problems recent ...differential equations, while others have studied the problem for difference equations, while still others have considered the problem for dynamic ... See full document

... (in Theorems , , ) can be expanded to some non-linear functional differential equations (see Remark ). Theorem  gives the best possible estimates of the norm of the Green oper- ator for the ... See full document

... We establish existence results of the following three-point boundary value problems: u t ft, ut 0, t ∈ 0, 1, BCu0 0 and u1 δuη, where 0 < η < 1 and 0 < δ ≤ 1. The approach applied in this ... See full document

... Existence r,sdts fir a second order bo, mdary vahw p,ll,nz fir fiuwtiCmal differential ’qatiIlS, are giwn.. The rcsflts ar }asct tmth’ nmlin’ar Alterna.tiv, f Leray-S’haaMcr and rely .m [r] ... See full document

... differential equations, which arise in biology, physics, population dynamics, economics, and so forth, are a basic tool to study evolution processes that are subjected to abrupt in their states see ...and ... See full document

... Fang, “On positive solutions of boundary value problems for second-order functional di ff erential equations on infinite intervals,” Journal of Mathematical Analysis and Applications , vo[r] ... See full document

... anti-periodic boundary value problems for differential equa- ...First, second and higher-order differential equations with anti-periodic boundary value ... See full document

... The paper is organized as follows. In Section , we reformulate the anti-periodic bound- ary value problem (.) and (.) as an equivalent integral equation, which is a widely used technique in the theory ... See full document

... for functional boundary value problems of second-order nonlinear differential equations system at resonance with dim Ker L = 3 and 4, ... See full document