[PDF] Top 20 On the global solvability of a class of fourth order nonlinear boundary value problems
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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
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
Fourth order elliptic operator-differential equations with unbounded operator boundary conditions in the Sobolev-type spaces
... applied problems of mathematical physics require the study of spectral problems with a polynomial appearance of a parameter in the boundary conditions [–], while, in corresponding inverse ... See full document
14
Fixed point theorem based solvability of fourth order nonlinear differential equation with four-point boundary value conditions
... From this ground here we considered the fourth order four-point BVP defined by (1.1) and check the existence of solutions of that BVP by applying Krasnosclskii-Zabreiko fixed point theorem [19] instead of ... See full document
13
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
Nodal Solutions for a Class of Fourth-Order Two-Point Boundary Value Problems
... For other results on the existence and multiplicity of positive solutions and nodal solutions for boundary value problems of ordinary di ff erential equations based on bifurcation techniq[r] ... See full document
11
Multiplicity Results Using Bifurcation Techniques for a Class of Fourth-Order -Point Boundary Value Problems
... possesses the line of trivial solutions Θ {λ, 0 | λ ∈ R}. It is well known that if μ ∈ R, a necessary condition for μ, 0 to be a bifurcation point of 1.7 with respect to Θ is that μ ∈ σL. If μ is a simple characteristic ... See full document
20
Solvability for fractional order boundary value problems at resonance
... The rest of this paper is organized as follows. Section 2 contains some necessary notations, definitions, and lemmas. In Section 3, we establish a theorem on existence of solutions for BVP (1.1) under nonlinear ... See full document
10
Eigenvalue Problem and Unbounded Connected Branch of Positive Solutions to a Class of Singular Elastic Beam Equations
... the global structure of positive solutions of nonlinear boundary value problems has also been investigated see 26–28 and references ...the global structure of positive solutions ... See full document
21
On the Solvability of Discrete Nonlinear Two Point Boundary Value Problems
... the boundary conditions are ...in order to get, by using minimization methods, existence of a unique weak solution which is also a classical solution since the Hilbert space associated is of finite ... See full document
17
Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter
... for nonlinear fourth-order multipoint boundary value problems has been studied by many authors using nonlinear alternatives of Leray-Schauder, the fixed point theory, and ... See full document
11
Solvability of Second-Order-Point Boundary Value Problems with Impulses
... Gupta, “Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation,” Journal of Mathematical Analysis and Applications, vol.. Tsamatos[r] ... See full document
8
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
On the Correct Solvability of the Boundary-Value Problem for One Class Operator-Differential Equations of the Fourth Order with Complex Characteristics
... unique solvability of the boundary-value problem for one class of operator-differential equations of the fourth order with complex characteristics, which cover the equations ... See full document
20
Existence of positive solutions for fourth-order semipositone multi-point boundary value problems with a sign-changing nonlinear term
... The purpose of the article is to establish some new criteria for the existence of positive solutions to the problem (1.1). The nonlinear term f may take negative values and the nonlinearity may be sign-changing. ... See full document
16
Solvability of a fourth order boundary value problem with periodic boundary conditions
... INTRODUCTION Fourth order boundary value problems arise in the study of the equilibrium of an.. elastic beam under an external load, e.g., see.[r] ... See full document
10
Study of Stability Analysis for a Class of Fourth Order Boundary Value Problems
... Fourth order differential equations are considered to develop the class of methods for the numer- ical solution of boundary value ...of fourth order boundary ... See full document
8
On the Solvability of Nonlinear Boundary Value Problems on Time Scales
... of nonlinear scalar two-point boundary value problems where the corresponding linear homogeneous boundary value problem has a one dimensional solution ...ary value ... See full document
73
Septic B Spline Solution of Fifth Order Boundary Value Problems
... In this paper, the septic B-spline function is used as a basis function and the B-spline collocation method is studied to solve the linear and nonlinear fifth-order boundary value ... See full document
9
On the Solvability of Nonlinear Discrete Multipoint Boundary Value Problems
... Multipoint boundary value problems can occur in a variety of ...third order ordinary differential equation [1, ...point boundary condition. To illustrate the scope of these types of ... See full document
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