Let T be a time scale. We study the existence of positive solutions for the higher-order p-Laplacian dynamic delay differential equations on time scales. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem with p-Laplacian operator are obtained. Mathematics Subject Classification: 34B16, 3...

this article is devoted to the study of existence and multiplicity of positive solutions to aclass of nonlinear fractional order multi-point boundary value problems of the type−dq0+u(t) = f(t, u(t)), 1 < q ≤ 2, 0 < t < 1,u(0) = 0, u(1) =m−2∑ i=1δiu(ηi),where dq0+ represents standard riemann-liouville fractional derivative, δi, ηi ∈ (0, 1) withm−2∑i=1δiηi q−1 < 1, and f : [0, 1] × [0, ∞) → [0, ∞...

In this paper, we study the existence of positive radial solutions for the elliptic system by fixed point index theory. AMS subject classification: 34B15, 45G15.

Let T be a time scale. We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem wi...

In this paper, we study the existence of positive solutions for nonlinear four-point singular boundary-value problems for higher-order equation with the p-Laplacian operator. Using the fixed-point index theory, we find conditions for the existence of one solution, and of multiple solutions.

Recently, periodic boundary value problems PBVPs for short for dynamic equations on time scales have been studied by several authors by using the method of lower and upper solutions, fixed point theorems, and the theory of fixed point index. We refer the reader to 1–10 for some recent results. In this paper we are interested in the existence of positive solutions for the following first-order P...

This paper investigates the existence and multiplicity of positive solutions for a second-order delay p-Laplacian boundary value problem. By using fixed point index theory, some new existence results are established.

We present new results on the existence of multiple positive solutions for an elastic beam equation subject to nonlocal and nonlinear boundary conditions. Our approach is based on classical fixed point index theory. The results are joint with Paolamaria Pietramala.

By constructing a special cone and using fixed point index theory, this paper investigates the existence of positive solutions of singular superlinear coupled integral boundary value problems for differential systems

By constructing a special cone and applying the fixed index theory in the cone, we prove the existence of positive solutions for a class of singular m-point boundary-value problems.