Periodic solutions to nonlinear Euler–Bernoulli beam equations
نویسندگان
چکیده
منابع مشابه
Periodic Solutions for Nonlinear Elliptic Equations. Application to Charged Particle Beam Focusing Systems
Abstract. We study the existence of spatial periodic solutions for nonlinear elliptic equations −∆u + g(x, u(x)) = 0, x ∈ R where g is a continuous function, nondecreasing w.r.t. u. We give necessary and sufficient conditions for the existence of periodic solutions. Some cases with nonincreasing functions g are investigated as well. As an application we analyze the mathematical model of electro...
متن کاملNonlinear Difference Equations with Periodic Solutions
For ten nonlinear difference equations with only p-periodic solutions it is shown that the characteristic polynomials of the corresponding linearized equations about the equilibria have only zeros which are p-th roots of unity. An analogous result is shown concerning two systems of such equations. Five counterexamples show that the reverse is not true. Some remarks are made concerning equations...
متن کاملPeriodic Solutions of Nonlinear Wave Equations
where f is a given continuous function in R 3 and f is T-periodic in t and s. Periodic solutions of nonlinear hyperbolic partial differential equations have been studied extensively in the recent years [1, 6, 7, 8, 9, 10, 11, 12, 13, 14]. The two approaches that have been used are: (i) reduction to an alternative problem and (ii) the Galerkin method and passage to the limit through a sequence o...
متن کاملPeriodic Solutions of Nonlinear Partial Differential Equations
As the existence theory for solutions of nonlinear partial differential equations becomes better understood, one can begin to ask more detailed questions about the behavior of solutions of such equations. Given the bewildering complexity which can arise from relatively simple systems of ordinary differential equations, it is hopeless to try to describe fully the behavior which might arise from ...
متن کاملPeriodic Solutions of Nonlinear Differential Equations
The periodic boundary value problems of a class of nonlinear differential equations are investigated.
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: Communications in Mathematical Sciences
سال: 2019
ISSN: 1539-6746,1945-0796
DOI: 10.4310/cms.2019.v17.n7.a10