Periodic Boundary Value Problem for First Order Impulsive Differential Equation at Resonance
نویسندگان
چکیده
منابع مشابه
Periodic Boundary Value Problem for First Order Impulsive Differential Equation at Resonance
We develop a general theorem concerning the existence of solutions to the periodic boundary value problem for the first-order impulsive differential equation, x′(t) = f(t, x(t)), t ∈ J \ {t1, t2, · · · , tk} 4x(ti) = Ii(x(ti)), i = 1, 2 · · · k x(0) = x(T ). And using it we get a concrete existence result. Moreover, to our knowledge the coincidence degree method has not been used to t...
متن کاملPeriodic boundary value problems for nonlinear impulsive fractional differential equation
In this paper, we investigate the existence and uniqueness of solution of the periodic boundary value problem for nonlinear impulsive fractional differential equation involving Riemann-Liouville fractional derivative by using Banach contraction principle.
متن کاملSolvability of multi-point boundary value problem of nonlinear impulsive fractional differential equation at resonance
Differential equation with fractional order have recently proved valuable tools in the modeling of many phenomena in various fields of science and engineering [1-5]. Recently, many researchers paid attention to existence result of solution of the boundary value problems for fractional differential equations at nonresonance, see for examples [6-15]. But, there are few papers which consider the b...
متن کاملImpulsive Boundary-value Problems for First-order Integro-differential Equations
This article concerns boundary-value problems of first-order nonlinear impulsive integro-differential equations: y′(t) + a(t)y(t) = f(t, y(t), (Ty)(t), (Sy)(t)), t ∈ J0, ∆y(tk) = Ik(y(tk)), k = 1, 2, . . . , p,
متن کاملBoundary value problem for second-order impulsive functional differential equations
This paper discusses a kind of linear boundary value problem for a nonlinear second order impulsive functional differential equations. We establish several existence results by using the lower and upper solutions and monotone iterative techniques. An example is discussed to illustrate the efficiency of the obtained result. © 2005 Elsevier Inc. All rights reserved.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2007
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181069320