[PDF] Top 20 Integrability of the Reduction Fourth-Order Eigenvalue Problem
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Integrability of the Reduction Fourth-Order Eigenvalue Problem
... The theory of integrable systems has been an interesting and important problem. The finite dimensional integrable system is used to describe the problems in mathematical physics, mechanics, etc., such as ... See full document
8
Self-adjoint fourth order differential operators with eigenvalue parameter dependent and periodic boundary conditions
... particular fourth order periodic eigenvalue problem is self-adjoint using two different characterizations of self-adjoint ...the fourth order eigenvalue problems ... See full document
15
Spectral Properties of the Differential Operators of the Fourth Order with Eigenvalue Parameter Dependent Boundary Condition
... It is clear from the second relation 3.4 that the sign of y is not necessarily preserved after the transformation 3.2. For this reason this transformation cannot be used in any straightforward way. The following lemma of ... See full document
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Asymptotic Behavior of Eigenvalue and Eigenfunction of a Six Order Boundary Value Problem
... It is well known that many researchers have investigated the spectral properties of the Sturm-Liouville operator generated by the separate boundary condition (Aigunov, 1996) and many researchers have found asymptotic ... See full document
15
Spectral asymptotics of self-adjoint fourth order boundary value problems with eigenvalue parameter dependent boundary conditions
... the eigenvalue parameter. This problem is represented by a quadratic operator pencil, in a suitably chosen Hilbert space, whose coefficient opera- tors are ...derive eigenvalue asymptotics associated ... See full document
18
Optimal lower bound for the first eigenvalue of fourth order measure differential equation
... Eigenvalue theory has numerous applications in mathematics and applied sciences. More- over, problems linking the coefficient of an operator to the sequence of its eigenvalues are among the most fascinating of ... See full document
15
Eigenfunction expansion for a regular fourth order eigenvalue problem with eigenvalue parameter in the boundry conditions
... EIGENFUNCTION EXPANSION FOR A REGULAR FOURTH ORDER EIGENVALUE PROBLEM WITH EIGENVALUE PARAMETER IN THE BOUNDARY CONDITIONS.. ZAYED Department of Mathematics Faculty of Science Zagazlg Un[r] ... See full document
8
Bargmann and Neumann System of the Second- Order Matrix Eigenvalue Problem
... second order matrix eigenvalue problem ...eigenvalue problem. In section 3, Hamilton equation and its complete integrability under the Bargmann constraint are ...complete ... See full document
8
On the existence of equilibrium states of an elastic beam on a nonlinear foundation
... Existence of equilibrium states, beam-column, elastic beam, fourth-order nonlinear boundary value problem, nonlinear eigenvalue problems, variational methods.. 1991 AMS SUBJECT CLASSIFIC[r] ... See full document
6
A numerical investigation of the solution of a class of fourth-order eigenvalue problems
... Brown, B.M., Davies, E.B., Jimack, P.K. and Mihajlovic, M.D. (2000) A numerical investigation of the solution of a class of fourth-order eigenvalue problems. Proceedings of the Royal Society Series ... See full document
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A nonlinear boundary value problem for fourth-order elastic beam equations
... By using an infinitely many critical points theorem, we study the existence of infinitely many solutions for a fourth-order nonlinear boundary value problem, depending on two real parameters. No ... See full document
11
Solutions to a boundary value problem of a fourth-order impulsive differential equation
... We are mainly concerned with the existence of solutions of system (.). A function u(t) ∈ C([, ]) is said to be a (classical) solution of (.) if u(t) satisfies (.). In literature, tools employed to establish the ... See full document
14
A Fourth-Order Boundary Value Problem with One-Sided Nagumo Condition
... 12 I. T. Kiguradze and B. L. Shekhter, “Singular boundary value problems for second-order ordinary differential equations,” Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Novejshie Dostizh., vol. 30, pp. 105– 201, ... See full document
13
A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\)
... higher- order integral representation formulas and a Clifford algebra approach [, , ...the fourth-order elliptic equation ...the fourth-order elliptic operator in the framework of a ... See full document
19
Self-adjoint higher order differential operators with eigenvalue parameter dependent boundary conditions
... even order quasi-differential expres- sions are known both for the regular and the singular cases, see [] and in particular [], Theorem for the regular ... See full document
12
S-shaped connected component for the fourth-order boundary value problem
... the fourth-order prob- lem ...and fourth-order BVPs; for example, for second-order BVPs, the existence of a well-ordered pair of lower and upper solutions is sufficient to ensure the ... See full document
13
A highly efficient spectral Galerkin method based on tensor product for fourth order Steklov equation with boundary eigenvalue
... In this study, a highly efficient spectral-Galerkin method is posed for the fourth-order Steklov equation with boundary eigenvalue. By making use of the spectral theory of compact operators and the ... See full document
12
Integrability of solutions of the Skorokhod embedding problem for diffusions
... For a general Markov process Rost [22] gives necessary and sufficient conditions which determine whether a solution to the Skorokhod embedding problem (SEP) exists for a given target law. The conditions are ... See full document
28
Existence and Uniqueness of Positive Solutions for Discrete Fourth Order Lidstone Problem with a Parameter
... discrete fourth-order beam equation under Lidstone boundary conditions with a parameter; the iterative sequences yielding approximate solutions are also ... See full document
18
Reversed S shaped connected component for a fourth order boundary value problem
... where the nonlinearity f is asymptotic linear near , superlinear at some point, and sub- linear near ∞. Based upon Rabinowitz’s global bifurcation theorem, they proved that an unbounded subcontinuum of positive ... See full document
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