Existence and stability of fourth-order nonlinear plate problem
نویسندگان
چکیده
منابع مشابه
Existence and Multiplicity of Positive Solutions of a Nonlinear Discrete Fourth-Order Boundary Value Problem
and Applied Analysis 3 Ma and Xu 15 also applied the fixed point theorem in cones to obtain some results on the existence of generalized positive solutions. It is the purpose of this paper to show some new results on the existence and multiplicity of generalized positive solutions of 1.4 , 1.8 by Dancer’s global bifurcation theorem. To wit, we get the following. Theorem 1.3. Let h : 2 → 0,∞ , f...
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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 اولExistence of nodal solutions of a nonlinear fourth-order two-point boundary value problem
Correspondence: [email protected] School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People’s Republic of China Full list of author information is available at the end of the article Abstract In this article, we give conditions on parameters k, l that the generalized eigenvalue problem x′′′′ + kx′′ + lx = lh(t)x, 0 < t <1, x(0) = x(1) = x′(0) = x′(1) = 0 possesses an inf...
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We study the existence of positive solutions of the nonlinear fourth order problem u(x) = λa(x)f(u(x)), u(0) = u′(0) = u′′(1) = u′′′(1) = 0, where a : [0, 1] → R may change sign, f(0) > 0, and λ > 0 is sufficiently small. Our approach is based on the Leray–Schauder fixed point theorem.
متن کاملExistence of nontrivial solutions for a nonlinear fourth-order boundary value problem via iterative method
In this article, we study a nonlinear fourth-order differential equation two-point boundary value problem. We use monotone iterative technique and lower and upper solutions of completely continuous operators to get the existence of nontrivial solutions for the problem. The results can guarantee the existence of nontrivial sign-changing solutions and positive solutions, and we can construct two ...
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ژورنال
عنوان ژورنال: Nonautonomous Dynamical Systems
سال: 2019
ISSN: 2353-0626
DOI: 10.1515/msds-2019-0006