Fourth-order linear problem
Multiple solutions for a fourth-order nonlinear elliptic problem which is superlinear at +∞ and linear at −∞
... semilinear fourth-order elliptic equation with a right-hand side nonlinearity which exhibits an asymmetric growth at + ∞ and at – ∞ ...is linear at – ∞ and superlinear at + ∞ ...the problem ...
12
Nonlinear fourth order boundary value problem
... first order nonlinear boundary value problems is of the form y = A(x)y + F(x, y), () Ty = r, () where A is a n × n matrix defined on some interval I ⊂ R , F is a n × vector which is contin- uous on I × S, S ⊂ R ...
10
Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem
... A New Fourth-Order Finite Difference Method for Computing Eigenvalues of Fourth-Order Two-Point Boundary Value Problem, IMA Journal of Numerical Analysis, (1983) 291-293. A Study of Mono[r] ...
5
Multiple solutions for a fourth-order nonlinear elliptic problem
... This fourth-order semilinear elliptic problem can be considered as an analogue of a class of second-order problems which have been studied by many ...sub- linear. Chipot [16] proved ...
8
A solution decomposition for a singularly perturbed fourth-order problem
... The problem (1.1) arises from different physical models. In particular, the equations (1.1) can be formally derived from the Oseen equations, that is, from the streamfunction-vorticity formulation of the Oseen ...
22
Non-uniformly asymptotically linear fourth-order elliptic problems
... the problem in the case that f may be non-uniformly asymptotically ...asymptotically linear situation and their methods are not directly to use the non-uniformly asymptotically linear Navier boundary ...
14
A Fourth-Order Boundary Value Problem with One-Sided Nagumo Condition
... 7 C. de Coster, “La m´ethode des sur et sous solutions dans l’´etude de probl`emes aux limites,” D´epartment de Math´ematique, Facult´e des Sciences, Universit´e Catholique de Louvain, F´evrier 1994. 8 C. de Coster and ...
13
S-shaped connected component for the fourth-order boundary value problem
... teresting problem as to what happens to the norms of positive solutions of ...asymptotic linear growth conditions imposed on the nonlinearities only deduce a rela- tively simple “shape of the ...
13
Accurate Asymptotic Formulas for Eigenvalues and Eigenfunctions of a Boundary-Value Problem of Fourth Order
... 3 V. A. Marchenko, Sturm-Liouville Operators and Applications, vol. 22 of Operator Theory: Advances and Applications, Birkh¨auser, Basel, Switzerland, 1986. 4 M. A. Naimark, Linear Di ff erential Operators. Part 1, ...
21
Infinitely many solutions for a class of fourth-order partially sublinear elliptic problem
... The fourth-order elliptic equations can describe the static form change of beam or the motion of rigid body, so they are widely applied in physics and ...the problem () as g(x, u) = d[(u + ) + – ...
8
Reversed S shaped connected component for a fourth order boundary value problem
... ( | y | p– y ) = λa(x)f (y), x ∈ (, ), y() = y() = , (.) where the nonlinearity f is asymptotic linear near , superlinear at some point, and sub- linear near ∞. Based upon Rabinowitz’s global ...
11
Fourth Order Four Point Boundary Value Problem: A Solutions Funnel Approach
... Restricting our consideration on the linear case, notice as far as the author is awake, that only the conditions in 1.2 have been studied, where the constants a, b, c, and d are nonnegative. In a recent paper, ...
19
Multiple positive solutions for a fourth-order integral boundary value problem on time scales
... 6. Wei, Z, Zhang, M: Positive solutions of singular sub-linear boundary value problems for fourth-order and second-order differential equation systems. Appl Math Comput. 197, 135 – 148 (2008). ...
18
Solving the singular two-dimensional fourth order problem by the mortar spectral element method
... The program is written in Matlab, which permits a good memory optimization and pro- vides a data structure depending on the initial geometry. The program has three modules corresponding to the three phases of the ...
19
Solution of fourth order three-point boundary value problem using ADM and RKM
... Conclusion Fourth order three point BVP (linear and nonlinear) and the system of fourth order three point BVP are determined using ADM and ...of linear fourth order ...
7
Integrability of the Reduction Fourth-Order Eigenvalue Problem
... By means of the viewpoint of Hamilton mechanics, the Euler-Lagrange function and the Legendre transformations have been derived, and a reasonable Jacobi-Ostrogradsky coordinate system has been found. Then, the ...
8
On Lyapunov type inequalities for fourth order linear differential equations
... ARTICLE INFO ABSTRACT In this paper, we introduce new Lyapunov-type inequalities for fourth order linear di¤erential equations under the third-point and four-point boundary conditions. The result for ...
7
Oscillations of Fourth Order Linear Neutral Delay Differential Equations
... [5] Jozef Džurina, Blanka Baculíková and Irena Jadlovská B, New oscillation results to fourth-order delay differential equations with damping, Electronic Journal of Qualitative Th[r] ...
10
Qualitative properties of solutions of certain fourth order linear differential equations
... Oscillation Properties of the (2,2)-Disconjugate Fourth Order Selfadjoint Differential Equation, Proc. Rotation Properties of AdJoint Pairs of Differential Systems, Proc[r] ...
12
A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\)
... a fourth-order elliptic equation ...the fourth-order elliptic equation and construct the explicit expressions of higher-order kernel ...the fourth-order elliptic equations ...
19