Existence of Solutions for a One Dimensional p-Laplacian on Time-Scales

D Anderson*, R Avery, J Henderson - Journal of Difference …, 2004 - Taylor & Francis
Existence of Solutions for a One Dimensional <italic>p</italic>-Laplacian on Time-Scales Page 1
Existence of Solutions for a One Dimensional p-Laplacian on Time-Scales DOUGLAS …

A Sturm–Liouville theory for Hahn difference operator

MH Annaby, AE Hamza… - Frontiers in Orthogonal …, 2018 - World Scientific
This chapter introduces a comprehensive study for Sturm–Liouville theory of the q, ω-Hahn
difference operators in the regular setting. We define a Hilbert space of q, ω-square …

[HTML][HTML] Higher-order self-adjoint boundary-value problems on time scales

DR Anderson, GS Guseinov, J Hoffacker - Journal of Computational and …, 2006 - Elsevier
In this study, higher-order self-adjoint differential expressions on time scales and their
associated self-adjoint boundary conditions are discussed. The symmetry property of the …

Second order iterative dynamic boundary value problems with mixed derivative operators with applications

J Alzabut, M Khuddush, AGM Selvam… - Qualitative Theory of …, 2023 - Springer
In this paper, we derive sufficient conditions for the existence and uniqueness of solutions of
the iterative dynamic boundary value problem of second order with mixed derivative …

Existence results for singular three point boundary value problems on time scales

JJ DaCunha, JM Davis, PK Singh - Journal of Mathematical Analysis and …, 2004 - Elsevier
We prove the existence of a positive solution for the three point boundary value problem on
time scale T given by [Formula: see text] where p∈(0, 1)∩ T is fixed and f (x, y) is singular at …

Self-adjoint boundary value problems on time scales and symmetric Green's functions

GS Guseinov - Turkish Journal of Mathematics, 2005 - journals.tubitak.gov.tr
Self-Adjoint Boundary Value Problems on Time Scales and Symmetric Green's Functions
Page 1 Turkish Journal of Mathematics Volume 29 Number 4 Article 3 1-1-2005 Self-Adjoint …

An even-order three-point boundary value problem on time scales

DR Anderson, RI Avery - Journal of Mathematical Analysis and Applications, 2004 - Elsevier
We study the even-order dynamic equation (− 1) nx (Δ∇) n (t)= λh (t) f (x (t)), t∈[a, c]
satisfying the boundary conditions x (Δ∇) i (a)= 0 and x (Δ∇) i (c)= βx (Δ∇) i (b) for 0⩽ i⩽ n …

Existence of solutions for a cantilever beam problem

DR Anderson, J Hoffacker - Journal of mathematical analysis and …, 2006 - Elsevier
We are concerned with the fourth-order nonuniform cantilever beam problemW (a)= WΔ (a)=
0, I (b) WΔ∇(b)=(I (x) WΔ∇(x)) Δ| x= b= 0. Under various assumptions on f we prove the …

[PDF][PDF] Nonlinear triple-point problems on time scales.

DR Anderson - Electronic Journal of Differential Equations (EJDE) …, 2004 - eudml.org
We establish the existence of multiple positive solutions to the nonlinear second-order triple-
point boundary-value problem on time scales, u∆∇(t)+ h (t) f (t, u (t))= 0, u (a)= αu (b)+ …

A stacked delta-nabla self-adjoint problem of even order

DR Anderson, J Hoffacker - Mathematical and computer modelling, 2003 - Elsevier
Existence criteria for two positive solutions to a nonlinear, even-order stacked delta-nabla
boundary value problem with stacked, vanishing conditions at the two endpoints are found …