[PDF] Top 20 Existence and uniqueness theorems for some fourth order nonlinear boundary value problems
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Existence and uniqueness theorems for some fourth order nonlinear boundary value problems
... the fourth- ordinary differential equation ...the boundary conditions given in (1.2) through (1.7).) Those boundary value problems govern the equilibrium states of a ...a ... See full document
6
New Fixed Point Theorems of Mixed Monotone Operators and Applications to Singular Boundary Value Problems on Time Scales
... new existence and uniqueness theorems of fixed points of mixed monotone operators are obtained, and then they are applied to a nonlinear singular second-order three-point ... See full document
14
Nonresonance conditions for fourth order nonlinear boundary value problems
... In section 2, we introduce abstract version of such type of hothesis to obtain existence result for the general nonlinear equation Lu- Nu; that result will then be applied to the periodi[r] ... See full document
16
Analytical solution to the nonlinear singular boundary value problem arising in biology
... The aim of the present work is to provide some constructive existence and uniqueness theorems for problem (.)-(.) of the same type as those provided by Ford and Pennline in [] by the ... See full document
9
Existence and uniqueness of solutions for fourth-order periodic boundary value problems under two-parameter nonresonance conditions
... The purpose of this paper is to improve and extend the above-mentioned results. Dif- ferent from the two-parameter nonresonance condition described by rectangle, we will present new two-parameter nonresonance conditions ... See full document
9
Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems
... for existence and uniqueness of solutions of three point boundary value problem for p-Laplacian fractional order differential ...for existence of solutions and concavity of the ... See full document
11
Existence and Uniqueness of Positive Solutions for Fourth Order Nonlinear Singular Sturm Liouville Problems
... of boundary condi- ...under some boundary conditions associated with the li- near beam equation can be found in Zill and Cullen ...the existence and uniqueness of positive solutions for ... See full document
8
Existence and uniqueness of symmetric solutions for fractional differential equations with multi-order fractional integral conditions
... the existence of symmetric solutions for or- dinary differential equation boundary value problems; for example, see [–] and the references ...the existence of symmetric solutions for ... See full document
14
Positive Solutions to Nonlinear First-Order Nonlocal BVPs with Parameter on Time Scales
... multipoint boundary value problems arise in a variety of different areas of applied mathematics and ...multipoint boundary value problem 2; also many problems in the theory of ... See full document
15
Existence and uniqueness of positive solutions to fractional boundary value problems with nonlinear boundary conditions
... The existence of the positive solutions to fractional boundary value problems involving the nonlinear boundary conditions is an important issue in the area of fractional ... See full document
11
Ulam stability to a toppled systems of nonlinear implicit fractional order boundary value problem
... the existence theory of solutions. Many re- searchers have established some interesting results of the existence of solutions to bound- ary value problems for FODEs by applying different ... See full document
16
On decay and blow-up of solutions for a nonlinear beam equation with double damping terms
... global existence, the authors of [1] used the Galerkin ap- proximation method and the monotonicity method (see ...the existence and uniqueness of weak solutions to a class of nonlinear beam ... See full document
17
Existence of Positive Solutions for Fourth-Order Three-Point Boundary Value Problems
... 2], boundary value problems for second- and higher-order di ff er- ential equations play a very important role in both theory and ...the existence of solutions and positive solutions to ... See full document
10
Existence results for a kind of fourth-order impulsive integral boundary value problems
... The remainder of the paper is organized as below. In Section , we give the expression of the solution to BVP (.). For this purpose, we do some computation and estimation of the Green’s function. In Section , ... See full document
15
Nagumo theorems of third-order singular nonlinear boundary value problems
... Lemma . Let ψ , φ be the upper and lower solutions of (.), respectively, and suppose that Hypotheses . and . hold. Then for any solution x(t) of boundary value problem (.) with p(t)φ ≤ p(t)x ≤ ... See full document
11
On the global solvability of a class of fourth order nonlinear boundary value problems
... This paper is concerned with the global solvability of a class of fourth-order nonlinear boundary value problems that govern the deformation of an elastic beam which is acted upon by axi[r] ... See full document
5
Existence and Uniqueness of Solutions for Higher-Order Three-Point Boundary Value Problems
... Higher-order boundary value problems were discussed in many papers in recent years; for instance, see 1–22 and references ...the boundary conditions in the above-mentioned references ... See full document
16
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
Positive Solutions of Boundary Value Problems for System of Nonlinear Fourth-Order Differential Equations
... Fourth-order nonlinear differential equations have many applications such as balancing condition of an elastic beam which may be described by nonlinear fourth-order ordinary ... See full document
12
Existence of positive solutions for fourth-order semipositone multi-point boundary value problems with a sign-changing nonlinear term
... article, some new sufficient conditions are obtained by making use of fixed point index theory in cone and constructing some available integral operators together with approximating ...the existence ... See full document
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