ICDE Math Conference

International Conference on Differential Equations

May 31 – June 1, 2024 Florida Gulf Coast University Fort Myers, Florida

Hybrid: Virtual & In-person

The conference promotes research and education in Differential Equations and Mathematics through discussions among mathematicians, recent Ph.Ds, and graduate students.

Program & Abstracts: https://urlz.at/abstracts

ICDE Conference Schedule

 

Friday, May 31 Morning Sessions

 

9:00 – 11:30 am         Welcome & Virtual Parallel Sessions

Friday, May 31 Afternoon Sessions

 

2:00 – 2:45 pm           In-person Registration: Water School Lobby

2:45 – 3:00 pm           Welcoming Remarks – Water School 106.

3:00 – 4:00 pm           In-person Plenary Talk (available on Zoom): 

Reaction-Diffusion Models with Weak Allee Effect Growth by Junping Shi – Water School 106

4:00 – 6:00 pm           In-person Parallel Sessions

Water School 106 & 112

 

Saturday, June 1: Morning Sessions

8:30 – 9:30 am           Virtual Plenary Talk: Spectral Analysis of Nonlinear Operators; Old Problems, New Results by Pavel Drábek – Water School 106

 

9:30 – 9:45 am           Coffee break: Water School Lobby

9:45 – 12:15 pm         Virtual Parallel Sessionsool 106, 112, 207, 214 & 211

12:15 – 1:00 pm         Lunch: Water School Lobby

 

 

 

 

Saturday, June 1: Afternoon Sessions

 

1:00 – 2:00 pm           Virtual Plenary Talk: Recent results on the ideal free distribution by Chris Cosner – Water School 106 

 

2:00 – 2:15 pm           Coffee break: Water School Lobby

2:15 – 4:45 pm           In-person Parallel Sessions

Water School 106 & 112 

 

4:45 – 5:00 pm           Coffee break: Water School Lobby

5:00 – 6:00 pm           Virtual Plenary Talk: The continuous wavelet transform and regularity for solutions to partial differential equations by Alfonso Castro – Water School 106

 

6:30 – 8:00 pm           Conference Dinner: Sugden Resort and Hospitality Building 114

 

Sunday, June 2

8:30 – 10:30 am         In-person Parallel Sessions

 Water School 106 & 112 

 

10:30 – 11:00 pm       Coffee break: Water School Lobby

11:00 – 12:00 pm       In-person Plenary Talk (available on Zoom): Management for Models with Resoucesby Suzanne Lenhart – Water School 106

 

12:00 – 12:15 pm       Concluding Remarks: Water School 106.

Friday, May 31 – Morning Sessions Virtual

Friday

Friday Morning Virtual Session I on Zoom

9:00-9:30

Existence, multiplicity and asymptotic analysis for a supercritical elliptic problem involving the fractional Laplacian

Batahri Asma Amira (Tlemcen University)

 

9:30-10:00

Tempered  Caputo Fractional Differential Equations with Mixed Boundary Condition Under the Weak Topology

Nawal Bettayeb (Djillali Liabes University of Sidi Bel-Abbes)

 

10:00-10:30

p-Laplacian equation on compact Riemanian Manifold

Mohammed Tewfik Ghomari (University of Tlemcen)

 

10:30-11:00

Study of an elliptic second order differential equation in UMD space with a spectral parameter in equation and transmission condition

Boukhari Soumia Farah (University of Mostaganem)

 

11:00-11:30

Non-commuting solutions of the Yang-Baxter-like matrix equation

Mehsin Jabel Atteya (Mustansiriyah University)

 

Friday

Friday Morning Virtual Session II on Zoom

9:00-9:30

Ulam type stability for a boundary value problem for non-instaneous impulsive -Caputo fractional differential equation

Snezhana Hristova (Plovdiv University)

 

9:30-10:00

Analysis of an Epidemiology Model with a Removal-Rate Parameter

Steve Schochet (Tel Aviv University)

 

10:00-10:30

Modeling Two Distinct Zones Divided by an Interface

Dib Nabahats (University Abou-Bekr Belkaid of Tlemcen)

 

10:30-11:00

Spectral radius analysis for domain decomposition method of parabolic partial differential equations

Younbae Jun (Kumoh National Institute of Technology)

 

11:00-11:30

Tychonov’s Solution: An Overlooked Opportunity to Blend Pure Mathematics into Engineering Education

Arthur Snider (University of South Florida)

Friday

Friday Morning Virtual Session III on Zoom

9:00-9:30

Regularity for Fully Nonlinear Elliptic Equations with Natural Growth in Gradient

and Singular Nonlinearity

Ram Baran Verma (SRM University AP)

 

9:30-10:00

An Implementation of PINN on Fractional Black-Scholes-Merton Equation using

Historical Data

Rajarshi Dey (Birla Institute of Technology – Ranchi)

 

10:00-10:30

Inverse Problems for Wave Propagation in 2 and 3 Dimensions

Mozhgan N. Entekhabi (Florida A and M University)

 

10:30-11:00

Analysis of a population when a second species influences its dynamics in the

interior and on the boundary

Ananta Acharya (Utah State University)

 

 

Friday, May 31 – Afternoon Sessions In-person

Friday

Friday Afternoon In-person Session I: Water School 106 – AB9: 106

4:00-4:30

On signed solutions for a semipositone quasilinear problem in a ball

 Emer Lopera (Universidad Nacional de Colombia)

4:30-5:00

Nonlinear elliptic equations with growth involving critical Sobolev exponents

 Nsoki Mavinga (Swarthmore College)

5:00-5:30

Positive solutions to one-dimensional double phase problems

 Byungjae Son (Ohio Northern University)

 

5:30-6:00

Pseodomonotone Homotopy of Yosida Approximants Corresponding to General Duality Mappings

 Dhruba Adhikari (Kennesaw State University)

Friday

Friday Afternoon In-person Session II: Water School 112 – AB9: 106 

4:00-4:30

Comparison theorems for problems involving steady state heat

Patrick McDonald (New College of Florida)

4:30-5:00

A Constructive Solution to The Ornstein-Uhlenbech Operator Equation on a Separable Banach Space 

 Timothy Myers (Howard University)

5:00-5:30

Arclength Null Quadrature Domains and Fluid Dynamics

Erik Lundberg (Florida Atlantic University)

Saturday, June 1 – Morning Sessions Virtual

 

Saturday

Saturday Morning Virtual Session I on Zoom 

9:45-10:15

On the effects of density-dependent emigration on ecological models with logistic and weak Allee type growth terms

Nalin Fonseka (University of Central Missouri)

 

10:15-10:45

Positive solutions for slightly subcritical elliptic problems via Orlicz spaces

Rosa Pardo (Universidad Complutense de Madrid)

 

10:45-11:15

Sublinear Positone and Semipositone problems on the exterior of a ball in 

Anumol Joseph (Tata Institute of Fundamental Research- Centre for Applicable Mathematics)

 

11:15-11:45

Asymptotic Estimates for (p, q) Laplace Problems with Singular and Indefinite Sign Non-linearity

Sarbani Pramanik (Indian Institute of Science Education and Research Thiruvananthapuram)

 

11:45-12:15

Optimal Harvesting for a Logistic Model with Grazing

Ardra A (Indian Institute of Technology Palakkad)

 

 

Saturday

Saturday Morning Virtual Session II on Zoom 

9:45-10:15

Multiplicity Results for Fully Nonlinear Elliptic Equations with Natural Gradient Growth

Mohan Kumar Mallick (Visvesvaraya National Institute of Technology Nagpur)

 

10:15-10:45

Assessing the Effectiveness of Temperature-Dependent Wolbachia Transinfection Strategies for Dengue Fever Control

Vinodh Kumar Chellamuthu (Utah Tech University)

 

10:45-11:15

Existence and Multiplicity Results for Weakly Coupled System OF Pucci’s Extremal Operator

Karan Rathore (Visvesvaraya National Institute of Technology Nagpur)

 

11:15-11:45

Existence of positive solutions of Schrdinger-type problems

Eunkyung Ko (Keimyung University)

 

11:45-12:15

On some symmetry results for Monge-Ampere type problems

Cristian Enache (American University of Sharjah)

 

Saturday

Saturday Morning Virtual Session III on Zoom

9:45-10:15

Strong Maximum Principles in Problems with p-Laplacian

Lukáš Kotrla (University of West Bohemia)

 

10:15-10:45

Bifurcation results for semilinear elliptic systems with subcritical boundary conditions

Briceyda Delgado (INFOTEC)

 

10:45-11:15

Nondegeneracy and stability properties of perturbations of minimal cones

Matteo Rizzi (Justus Liebig University)

 

11:15-11:45

Minimal cones and solutions of the Allen-Cahn equation – Lyapunov-Schmidth reduction revisited

Oscar Ivan Agudelo Rico (University of West Bohemia)

 

11:45-12:15

Mathematical Model on HIV and Nutrition

Chirantha Piyamal Bandara (University of Florida)

 

Saturday, June 1 – Afternoon Sessions In-person

Saturday

Saturday Afternoon In-person Session I: Water School 106 – AB9: 106

2:15-2:45

On the convergence of the Variational Iteration Method for Klein-Gordon problems

Stephen Robinson (Wake Forest University)

2:45-3:15

Positive Solution for a semipositone -Laplacian operator

Diana Milena Sanchez Monsalve (Universidad Nacional de Colombia-Manizales)

3:15-3:45

Modeling the effects of trait-mediated dispersal on coexistence of two species: competitors & predator-prey

Dustin Nichols (University of North Carolina at Greensboro)

3:45-4:15

Sigma-shaped bifurcation curves influenced by nonlinear boundary conditions for classes of reaction diffusion systems

Keta Henderson (University of North Carolina at Greensboro)

4:15-4:45

Convergent methods for approximating sublinear semipositone reaction diffusion equations

Tom Lewis (University of North Carolina at Greensboro)

 

 

Saturday

Saturday Afternoon In-person Session II: Water School 112 – AB9: 112

2:15-2:45

Positive Solutions to Singular Second Order BVP on Time Scales

Shalmali Bandyopadhyay (University of Tennessee at Martin)

 

2:45-3:15

Novel Discontinuous Galerkin Methods for a Parabolic Obstacle Problem and a Convection Dominated Problem

Satyajith Bommana Boyana (University of North Carolina at Greensboro)

3:15-3:45

Optimizing control strategies for the treatment of Staphylococcus aureus osteomyelitis 

Francis Baffour-Awuah Junior (Florida State University)

3:45-4:15

Role of Asymptomatic Infection on Disease Persistence Among Patches

Daozhou Gao (Cleveland State University)

4:15-4:45

Control Metastatic Tumor Growth: from Modeling to Numerical Results

Iulia Martina Bulai (University of Sassari, Italy)

 

Sunday, June 2 – Morning Sessions In-person

Sunday

Sunday Morning In-person Session I: Water School 106 – AB9: 106

8:30-9:00

Multiple solutions for 1-D quasilinear stationary Schrodinger equations with indefinite potentials

Shibo Liu (Florida Institute of Technology)

9:00-9:30

Numerical Moment Stabilization of Central Difference Approximations for Linear Stationary Reaction-Convection-Diffusion Equations and Stationary Hamilton-Jacobi Equations

Xiaohuan Xue (University of North Carolina at Greensboro)

 

9:30-10:00

Exploring density-dependent dispersal and habitat fragmentation via reaction-diffusion equations

Jerome Goddard II (Auburn University Montgomery) 

10:00-10:30

Uniqueness of positive solution for classes of elliptic problems
Maya Chhetri (University of North Carolina at Greensboro)

  

Sunday

Sunday Morning In-person Session II: Water School 112

8:30-9:00

 

An integration by parts formula for the spectral fractional Laplacian, with application to the structurally damped beam equation

Julian Edward (Florida International University)

 

9:00-9:30

 

Uniform Boundedness and Long-time behavior of Solutions to an SI model with Intermittent Treatment

Haseeb Ansari (University of Houston)

 

9:30-10:00

 

Existence of Solutions of Non-homogeneous Linear Set-Valued Integral Equations and Their Properties

Uma Maheswara Rao Epuganti (Florida Institute of Technology)