On the existence of heteroclinic trajectories for asymptotically autonomous equations
نویسندگان
چکیده
منابع مشابه
Heteroclinic Solutions to an Asymptotically Autonomous Second-Order Equation
We study the differential equation ẍ(t) = a(t)V ′(x(t)), where V is a double-well potential with minima at x = ±1 and a(t) → l > 0 as |t| → ∞. It is proven that under certain additional assumptions on a, there exists a heteroclinic solution x to the differential equation with x(t)→ −1 as t→ −∞ and x(t) → 1 as t → ∞. The assumptions allow l − a(t) to change sign for arbitrarily large values of |...
متن کاملOn Asymptotically Autonomous Differential Equations in the Plane
In this paper, we study qualitative behaviour of trajectories of solutions of perturbed autonomous differential equations in the plane. We work in the framework of an axiomatic theory of solution spaces of ordinary differential equations suggested by V. V. Filippov (see the survey [7] and the references therein). This theory provides a unified approach to the study of solutions of ordinary diff...
متن کاملexistence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اول“the effect of risk aversion on the demand for life insurance: the case of iranian life insurance market”
abstract: about 60% of total premium of insurance industry is pertained?to life policies in the world; while the life insurance total premium in iran is less than 6% of total premium in insurance industry in 2008 (sigma, no 3/2009). among the reasons that discourage the life insurance industry is the problem of adverse selection. adverse selection theory describes a situation where the inf...
15 صفحه اولOn the existence of solutions of linear Volterra difference equations asymptotically equivalent to a given sequence
Schauder's fixed point technique is applied to asymptotical analysis of solutions of a linear Volterra difference equation xðn þ 1Þ ¼ aðnÞ þ bðnÞxðnÞ þ P n i¼0 Kðn; iÞxðiÞ In the paper, sufficient conditions are derived for the validity of a property of solutions that, for every admissible constant c 2 R, there exists a solution x ¼ xðnÞ such that xðnÞ $ c þ P nÀ1 i¼0 aðiÞ bði þ 1Þ bðnÞ; where ...
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: Topological Methods in Nonlinear Analysis
سال: 2009
ISSN: 1230-3429
DOI: 10.12775/tmna.2009.041