Periodic Boundary-Value Problems for Fourth Order Differential Equations with Delay

We study the periodic boundary-value problem z(iul(t) + f (x )x{t) + OO:{t) + g(t , :i:(t - -r)) + dx = p(t) z {O) = z ( 2 . r ) , :i:(O) = :.i:(2.r), %(0) = %(2.r), : i i (O) = ·x(2.r) , Under some resonant conditions on t he asymptotic behaviour of the ratio g(t, y ) /(by ) for IYI -. oo. Uniqueness of periodic solutions is al5o examined

Periodic Boundary Value Problems for Third Order Ordinary Differential Equations with Delay

We study the periodic boundary value problem .X" (t) +ft. x (t)) .x· (t) + g(t, x (t - 1:)) + h(x(t)) - p(t) x(O)- x(2n) - x (O)-x (2n) -X' (0) - .x· (2n) = 0 under some resonant conditions on the asymptotic behaviour of x- 1 g(t, x) for I x I _... oo. The uniqueness of periodic solutions is also examined

Existence and Uniqueness Theorems for a Class of Three Point Fourth Order Boundary Value Problem

Existence and uniqueness results arc obtained for the fourth order boundary-value problem of the form: { x" I· f(x")x'" ·I· r.J.x')x" - g(t, x, x', x", x"') x(O} x"(O} . x"(l} xCrJ) · 0, 0 ~ TJ <

Non-Resonant Oscillations for some Fourth-Order Differential Equations with Delay

We use coincidence degree arguments in order to derive the existence and uniqueness of periodic solution of equation (1.1}

On The Existence Of Periodic Solutions Of Certain Fourth Order Differential Equations with Dealy

We derive existence results for the periodic boundary value problem .r'" ' + uf.· + f (.); ).\: + ex + g (f. r(..r - r) = p ( l ) \ ( OJ = x(2rrl .. ~ (0) = .\· (2 17' ) . . \' Ol = x! '21r ). :\'' (0) i ' : \ ' (2 7r) using degree theoretic methods. The uniqueness of periodic solutions is also examine