Multiplicity of positive solutions for a fourth-order quasilinear singular differential equation.
Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions
We study the existence and multiplicity of positive solutions of the nonlinear equation u''(x) + λh(x)f(u(x)) = 0 subject to nonlinear boundary conditions. The method of upper and lower solutions and degree theory arguments are used.
Multiplicity of positive solutions for a nonlinear fourth order equation
We study the existence and multiplicity of positive solutions of the nonlinear fourth order problem ⎧ in (0,1), ⎨ ⎩u(0) = a ≥ 0, u’(0) = a’ ≥ 0, u(1) = b ≥ 0, u(1) = -b’ ≤ 0 The methods employed are upper and lower solutions and degree theory arguments.
Multiplicity of positive solutions for four-point boundary value problems of impulsive differential equations with -Laplacian.
Multiplicity of positive solutions to second order differential equations with Neumann boundary conditions
We study the existence of positive solutions to second order nonlinear differential equations with Neumann boundary conditions. The proof relies on a fixed point theorem in cones, and the positivity of Green's function plays a crucial role in our study.
Multiplicity of solutions for quasilinear elliptic boundary-value problems.
Multiplicity of solutions for some fourth-order -point boundary-value problems.
Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations.
Multiplicity results for a class of fractional boundary value problems
We prove the existence of at least three solutions to the following fractional boundary value problem: ⎧ , a.e. t ∈ [0, T], ⎨ ⎩ u (0) = u (T) = 0, where and are the left and right Riemann-Liouville fractional integrals of order 0 ≤ σ < 1 respectively. The approach is based on a recent three critical points theorem of Ricceri [B. Ricceri, A further refinement of a three critical points theorem, Nonlinear Anal. 74 (2011), 7446-7454].
Multiplicity results for asymmetric boundary value problems with indefinite weights.
Multiplicity results for classes of one-dimensional -Laplacian boundary-value problems with cubic-like nonlinearities.
Multiplicity results for fourth-order boundary-value problem at resonance with variable coefficients.
Multiplicity results using bifurcation techniques for a class of fourth-order -point boundary value problems.
Multiplicity results via topological degree for impulsive boundary value problems under non-well-ordered upper and lower solution conditions.
Multi-point boundary value problem for a class of functional-differential equations with parameter
Multipoint boundary value problems at resonance
Multipoint boundary value problems for discrete equations
In this work we establish existence results for solutions to multipoint boundary value problems for second order difference equations with fully nonlinear boundary conditions involving two, three and four points. Our results are also applied to systems.
Multi-point boundary value problems for higher order differential equations.
Multipoint boundary value problems for ODEs. Part II
We apply the method of quasilinearization to multipoint boundary value problems for ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.
Multi-Point Boundary Value Problems with Nonlinear Boundary Conditions