EXISTENCE OF SOLUTIONS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
نویسندگان
چکیده
منابع مشابه
Existence and continuous dependence for fractional neutral functional differential equations
In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order, by means of the Banach's contraction principle and the Schauder's fixed point theorem.
متن کاملExistence of Positive Periodic Solutions for Neutral Functional Differential Equations
We find sufficient conditions for the existence of positive periodic solutions of two kinds of neutral differential equations. Using Krasnoselskii’s fixed-point theorem in cones, we obtain results that extend and improve previous results. These results are useful mostly when applied to neutral equations with delay in bio-mathematics.
متن کاملExistence of Nonoscillatory Bounded Solutions for a System of Second-order Nonlinear Neutral Delay Differential Equations
A system of second-order nonlinear neutral delay differential equations ( r1(t) ( x1(t) + P1(t)x1(t− τ1) )′)′ = F1 ( t, x2(t− σ1), x2(t− σ2) ) , ( r2(t) ( x2(t) + P2(t)x2(t− τ2) )′)′ = F2 ( t, x1(t− σ1), x1(t− σ2) ) , where τi > 0, σ1, σ2 ≥ 0, ri ∈ C([t0,+∞),R), Pi(t) ∈ C([t0,+∞),R), Fi ∈ C([t0,+∞)× R2,R), i = 1, 2 is studied in this paper, and some sufficient conditions for existence of nonosc...
متن کاملOn Oscillation of Second-Order Nonlinear Neutral Functional Differential Equations
In this paper, some sufficient conditions are established for the oscillation of second-order neutral functional differential equation [ r(t)[x(t)+ p(t)x(τ(t))]′ ]′+q(t) f (x(σ(t))) = 0, t ≥ t0, where ∫ ∞ t0 dt/r(t) = ∞, or ∫ ∞ t0 dt/r(t) < ∞, 0 ≤ p(t) ≤ p0 < ∞. The results obtained here complement and improve some known results in the literature. 2010 Mathematics Subject Classification: 39A21,...
متن کاملExistence of Subharmonic Periodic Solutions to a Class of Second-Order Non-Autonomous Neutral Functional Differential Equations
and Applied Analysis 3 Let us consider the functional I x defined on H1 0 0, 2γτ by I x ∫2γτ 0 [ x′ t x′ t − τ − F t, x t , x t − τ dt. 2.4 For all x, y ∈ H1 0 0, 2γτ and ε > 0, we know that I ( x εy ) I x ε (∫2γτ 0 [ x′ t y′ t − τ x′ t − τ y′ t −Ft, x t εy t , x t − τ εy t − τ ) − F t, x t , x t − τ dt ) ε2 ∫2γτ 0 y′ t y′ t − τ dt. 2.5 It is then easy to see that 〈 I ′ x , y 〉 ∫2γτ 0 [ x′ t y′...
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: Tamkang Journal of Mathematics
سال: 1999
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.30.1999.4236