[PDF] Top 20 Positive solutions for one dimensional third order p Laplacian boundary value problems

... be singular at t =  and/or t = . g ∈ C([, ] × (, +∞)), and g(t, y) may be singular at y = . Third-order p-Laplacian equations with nonlinear boundary conditions play an impor- ... See full document

... fractional order boundary value problems (FOBVPs) with p-Laplacian operator is one of the most popular class of the FDEs which have been recently considered by many ... See full document

... conditions y() = y() = y () = y () = , which can be used to model the deflection of elastic beams simply supported at the endpoints [–]. This explains the reason that the last two decades have witnessed an ... See full document

... “Positive solutions of singular p-Laplacian BVPs with sign changing nonlinearity on time scales,” Mathematical and Computer Modelling, ...of positive solutions for a generalized ... See full document

... of boundary value problems, particulary multi point boundary value prob- lems for fractional differential equations with p-Laplacian operators has attracted the attentions ... See full document

... the p-Laplace operator equation is a typical quasilinear operator equation, which comes naturally from glaciology, nonlinear flow laws, and non-Newtonian mechan- ics (see [23, ...itive solutions for ... See full document

... Motivated by the work mentioned above, we investigate the existence and multiplicity of positive solutions for (1.3), (1.4) on time scales. The rest of this paper is organized as follows. In Sect. 2, we ... See full document

... and P ⊂ B be a cone in ...on P , let α be a nonnegative continuous concave functional on P , and let ψ be a nonnegative continuous functional on P satisfying ψ (λy) ≤ λψ (y) for all  ≤ λ ≤ , ... See full document

... of positive solutions on high-order fractional differential equations with p-Laplacian operator, espe- cially for conformable differential ...of positive solutions for ... See full document

... The theory and applications of the fourth-order ordinary differential equation are emerg- ing as an important area of investigation; it is often referred to as the beam equation. In [], Sun and Wang pointed out ... See full document

... lower solutions method associated with the Schauder fixed point theorem, the existence results of at least one positive solution for the above fractional q-difference boundary value ... See full document

... of solutions to the ordinary differential equations is important and interesting, but ...of solutions for integral boundary value problem ... See full document

... Then problem 1.1 has a positive solution u with ut > 0 for t ∈ 0, 2π and r/ρ < u ω < R/ρ. The rest of this paper is organized as follows. In Section 2, some preliminary results will be given. In Section ... See full document

... two positive solutions for the impulsive BVP ...many positive solutions for the impulsive BVP ...integral boundary conditions and one dimensional p-Laplacian ... See full document

... [6] Guendouz, C., Haddouchi, F. and Benacicha, S. (2018) Existence of Positive Solu- tions for a Nonlinear Third-Order Integral Boundary Value Problem. Annals of the Academy of Romanian ... See full document

... The rest of this paper is organized as follows. In Section , we recall some concepts rela- tive to the new conformable fractional calculus and give some lemmas with respect to the corresponding Green’s function. In ... See full document

... Similar reason, the results in 12, 13 are also incorrect, as they deal with the nonlinear systems. Under the boundary condition 1.3, we could avoid 3.31 to occur. With the similar argument of Theorem 3.4, we could ... See full document

... such problems. In this theory, the most applicable operator is the classical p-Laplacian, given by φ p (y) = |y| p−2 y, p > ... See full document

... fractional order boundary value problems associated with p-Laplacian ...of positive solutions for third order Sturm–Liouville boundary ... See full document

... By using the Leggett-Williams norm-type theorem due to O’Regan and Zima and constructing suitable Banach spaces and operators, we investigate the existence of positive solutions for fractional ... See full document