Research

During the last few years, my research and collaboration have included publications in the range of topics:

  • Boundary value problems for fractional differential equations
  • Nonlinear fractional integral equations
  • Quadratic integral equations
  • Weak solutions for hyperbolic partial fractional differential inclusions
  • p(t)-Laplacian three point boundary value problems
  • Homotopic deformation for Laplacian boundary value problems
  • Asymptotic behavior of solutions of fractional Volterra-Stieltjes integral equations
  • Third order boundary value problems with jumping nonlinearities
  • Variational methods for nonlocal perturbed p-Kirchhoff elliptic problems
  • Multiple solutions for parameterized Dirichlet quasilinear systems
  • Existence and multiplicity for solutions of higher order multipoint boundary value problems
  • Existence and multiplicity for solutions of higher order multipoint boundary value problems for finite difference equations
  • Nonexistence for solutions of multipoint boundary value problems
  • Positive solutions for nonlinear systems of boundary value problems
  • Positive solutions for nonlinear singular systems of boundary value problems
  • Uniqueness implies existence for solutions of nonlinear boundary value problems
  • Uniqueness implies uniqueness for solutions of nonlinear boundary value problems
  • Optimal length subintervals for uniqueness and existence of solutions of Lipschitz equations
  • Shooting methods for solutions of boundary value problems for nonlinear ordinary differential equations
  • Smooth dependence of solutions on boundary conditions
  • Local solutions of boundary value problems with nonlocal multistrip integral conditions
  • Nodal solutions for singular boundary value problems
  • Impulsive nonlinear evolution inclusions
  • Boundary value problems with small perturbation of impulses
  • Critical point theory and antiperiodic boundary value problems
  • Fractional Riemann-Liouville differential inclusions in the Almgren sense

If you would like to receive e-prints of publications from any of these topics, please send your requests to me by email at Johnny_Henderson@baylor.edu.