Particular solutions of forced generalized Airy equations
نویسندگان
چکیده
منابع مشابه
Periodic solutions of forced Kirchhoff equations
We consider Kirchhoff equations for vibrating strings and elastic membranes under the action of an external forcing of period 2π/ω and small amplitude ε. We prove existence, regularity and local uniqueness of 2π/ω-periodic solutions of order ε by means of a Nash-Moser iteration scheme; the results hold for parameters (ω, ε) in a Cantor-like set which has asymptotically full measure for ε→ 0.
متن کاملOn the existence of periodic solutions for a class of generalized forced Liénard equations
In this work the second-order generalized forced Liénard equation x′′ + ( f(x)+ k(x)x′ ) x′ + g(x) = p(t) is considered and a new condition for guaranteeing the existence of at least one periodic solution for this equation is given.
متن کاملBoundedness of Solutions of Second-order Forced Nonlinear Dynamic Equations
In this paper, we give some sufficient conditions which ensure that every solution of a certain class of forced nonlinear dynamic equations of the form (∗) xΔΔ(t) + qσ(t)f(x(t)) = r(t), on time scale T is bounded. To the best of our knowledge nothing is known regarding the qualitative behavior of solutions of the nonlinear dynamic equation (∗) on time scales until now. Our results not only unif...
متن کاملMinimal generalized solutions of fuzzy polynomial equations
Fuzzy polynomial equations (FPEs) don’t have algebraic solutions, generally. In this paper, we first, express and prove some relationships between Husdroof meter and length function on classes of triangular fuzzy numbers. We appraise the behavior of fuzzy polynomials by using the length function properties. Next, we transform a FPE into a generalized fuzzy polynomial equation (GFPE) and introdu...
متن کاملSolutions of Generalized Recursive Metric-Space Equations
It is well known that one can use an adaptation of the inverse-limit construction to solve recursive equations in the category of complete ultrametric spaces. We show that this construction generalizes to a large class of categories with metric-space structure on each set of morphisms: the exact nature of the objects is less important. In particular, the construction immediately applies to cate...
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: Journal of Mathematical Analysis and Applications
سال: 1985
ISSN: 0022-247X
DOI: 10.1016/0022-247x(85)90151-9