[PDF] Top 20 The method of lower and upper solutions for fourth order equations with the Navier condition
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The method of lower and upper solutions for fourth order equations with the Navier condition
... For the related results on the existence and multiplicity of positive solutions or sign- changing solutions for fourth order problems, see Bai and Wang [], Chu and O’Regan [], Cid et al. ... See full document
9
Nagumo theorems of third-order singular nonlinear boundary value problems
... the upper and lower solution method to prove the existence of solutions for a kind of third-order non- linear differential equations ...Nagumo condition, upper and ... See full document
11
The method of lower and upper solutions for the cantilever beam equations with fully nonlinear terms
... u(0) = u (0) = u (1) = 0, u (1) = g(u(1)), (1.4) the existence of solution has also been discussed by some authors, see [10–13]. The bound- ary condition in (1.4) means that the left end of the beam is fixed and ... See full document
16
Existence of solutions for a class of biharmonic equations with the Navier boundary value condition
... This fourth-order semilinear elliptic problem has been studied by many ...two solutions by a variation of linking if f (x, u) is sub- ...three solutions by a variational reduction ... See full document
9
Solutions to a boundary value problem of a fourth-order impulsive differential equation
... of solutions of system ...of solutions of impulsive differential equations include fixed point theorems, the upper and lower solutions method, the degree theory, critical ... See full document
14
Perturbed nonlocal fourth order equations of Kirchhoff type with Navier boundary conditions
... fourth-order equations of Kirchhoff type under Navier boundary ...perturbed fourth-order equations of Kirchhoff type have at least three weak solutions by using a ... See full document
20
Monotone iterative technique for causal differential equations with upper and lower solutions in the reversed order
... this method has been extended to causal differential equa- tions; see for example ...this method combined with the method of upper and lower solutions is an interesting and ... See full document
14
Existence of solutions to fourth-order differential equations with deviating arguments
... of lower and upper solutions by using Schäuder’s fixed point ...three solutions between two pairs of lower and upper solutions by using topological degree ...obtained ... See full document
31
Discontinuous Parabolic Problems with a Nonlocal Initial Condition
... differential equations with a discontinuous nonlinearity and subjected to a nonlocal initial ...of solutions in the weak ...of solutions, the method of upper and lower ... See full document
10
Construction of lower and upper solutions for first-order periodic problem
... The method of lower and upper solutions is an elementary but powerful tool in the exis- tence theory of solutions to initial value problems and for periodic boundary value prob- lems, ... See full document
8
The shooting method and positive solutions of fourth order impulsive differential equations with multi strip integral boundary conditions
... of fourth-order nonlocal integral bound- ary value problems is excellent, and the relevant methods are developed to be ...the method of upper and lower solutions, the monotone ... See full document
13
Causal difference equations with upper and lower solutions in the reverse order
... difference equations involving causal operators in the presence of upper and lower solutions in the reverse ...the upper and lower solutions ... See full document
15
Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations
... periodic solutions for ordinary differential equations is a very important branch in the differential equation ...periodic solutions for second-order differential equations have been ... See full document
11
The unique solution for periodic differential equations with upper and lower solutions in reverse order
... the upper and lower solution method together with the iterative technique is a powerful tool for proving the existence results for boundary value problems (see [–] and the references ...the ... See full document
12
Positive Solutions for Some Beam Equation Boundary Value Problems
... and lower solutions, Ambrosetti-Prodi problem and positive solutions for fourth order ...a fourth-order boundary value problem under a two-parameter nonresonance ... See full document
9
Stability of periodic solutions of first order difference equations lying between lower and upper solutions
... The paper is organized as follows. In Section 2, we present some fundamental prop- erties of the set of solutions of initial and periodic problems. In Section 3, we prove the existence of at least one N-periodic ... See full document
11
Properties of solutions of fourth order differential equations with boundary conditions
... differential equations subject to some boundary conditions arise in the mathemati- cal description of some physical ...linear fourth-order differential ... See full document
15
Convergence of Solutions of Certain Fourth Order Nonlinear Differential Equations
... In all these studies, Lyapunov’s second method has been the main tool of investiga- tion. In the literature, the incomplete Lyapunov functions are frequent and used by a quite appreciable number of researchers due ... See full document
13
Multiple nonnegative solutions for BVPs of fourth order difference equations
... multiple solutions of a system of m discrete boundary value problems, Zeitschrift f¨ur Angewandte Mathematik und Mechanik 81 (2001), ...Positive Solutions of Operator Equations, ... See full document
7
Existence of Solutions for Boundary Value Problems of Vibration Equation with Fractional Derivative
... Positive Solutions for Eigenvalue Problems of Fractional Differential Equation with Generalized ...The Method of Lower and Upper Solutions for ... See full document
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