On a discontinuous beam-type equation with deviating argument in the curvature
نویسندگان
چکیده
منابع مشابه
Fourth-Order Differential Equation with Deviating Argument
and Applied Analysis 3 Motivated by 14, 15 , here we study the existence of AL-solutions for 1.1 . The approach is completely different from the one used in 15 , in which an iteration process, jointly with a comparison with the linear equation y 4 q t y 2 0, is employed. Our tools are based on a topological method, certain integral inequalities, and some auxiliary functions. In particular, for ...
متن کاملPeriodic solutions for prescribed mean curvature Rayleigh equation with a deviating argument
where τ , e ∈ C(R,R) are T-periodic, and f , g ∈ C(R × R,R) are T-periodic in the first argument, T > is a constant. In recent years, there are many results on the existence of periodic solutions for various types of delay differential equation with deviating arguments, especially for the Liénard equation and Rayleigh equation (see [–]). Now as the prescribed mean curvature ( x ′(t) √ +x′...
متن کاملLazer-Leach Type Conditions on Periodic Solutions of Liénard Equation with a Deviating Argument at Resonance
and Applied Analysis 3 (3) The Brouwer degree deg{JQN,Ω∩Ker L, 0} ̸ = 0, where J : ImQ → Ker L is an isomorphism. Then equation Lx = Nx has at least one solution onD(L)∩Ω. 3. Main Results In this section, we will use the continuation theorem introduced in Section 2 to prove the existence of periodic solutions of (1). To this end, we first quote some notations and definitions. Let X and Y be two ...
متن کاملPeriodic solutions for a kind of Rayleigh equation with a deviating argument
In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T -periodic solutions for a kind of Rayleigh equation with a deviating argument of the form x′′ + f(x′(t)) + g(t, x(t− τ(t))) = p(t).
متن کاملApproximation of Solutions of a Stochastic Fractional Differential Equation with Deviating Argument
The existence, uniqueness approximate solutions of a stochastic fractional differential equation with deviating argument is studied. Analytic semigroup theory and fixed point method is used to prove our results. Then we considered Faedo-Galerkin approximation of solution and proved some convergence results. We also studied an example to illustrate our result.
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: Boundary Value Problems
سال: 2016
ISSN: 1687-2770
DOI: 10.1186/s13661-016-0685-5