The existence and multiplicity of solutions of three-pointp-Laplacian boundary value problems with one-sided Nagumo condition
Copyright policy )The existence and multiplicity of solutions of three-pointp-Laplacian boundary value problems with one-sided Nagumo condition
The authors study the \(p\)-Laplacian equation \[ (\phi_p(u'))'=f(t,u,u'),\quad t\in (0,1), \] with the three-point boundary conditions \[ u'(0)=0,\quad u(1)=u(\eta),\quad \eta\in(0,1). \] The solvability of the boundary value problem at resonance is discussed by the method of two pairs of lower and upper solutions. Also, the existence of three solutions is obtained by using Leray-Schauder degree theory.
- China University of Mining and Technology China (People's Republic of)
\(p\)-Laplacian equations, one-sided Nagumo condition, resonance, three-point boundary value, upper and lower solutions, Nonlocal and multipoint boundary value problems for ordinary differential equations
\(p\)-Laplacian equations, one-sided Nagumo condition, resonance, three-point boundary value, upper and lower solutions, Nonlocal and multipoint boundary value problems for ordinary differential equations
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