Theory of linear abstract functional differential equations and applications.
Theory of rapid variation on time scales with applications to dynamic equations
In the first part of this paper we establish the theory of rapid variation on time scales, which corresponds to existing theory from continuous and discrete cases. We introduce two definitions of rapid variation on time scales. We will study their properties and then show the relation between them. In the second part of this paper, we establish necessary and sufficient conditions for all positive solutions of the second order half-linear dynamic equations on time scales to be rapidly varying. Note...
Third-order nonlocal problems with sign-changing nonlinearity on time scales.
Three applications of differential equations in turbulence research
Three periodic solutions for a class of higher-dimensional functional differential equations with impulses
By using the well-known Leggett–Williams multiple fixed point theorem for cones, some new criteria are established for the existence of three positive periodic solutions for a class of n-dimensional functional differential equations with impulses of the form ⎧y’(t) = A(t)y(t) + g(t,yt), , j ∈ ℤ, ⎨ ⎩, where is a nonsingular matrix with continuous real-valued entries.
Three periodic solutions for an ordinary differential inclusion with two parameters
Applying a nonsmooth version of a three critical points theorem of Ricceri, we prove the existence of three periodic solutions for an ordinary differential inclusion depending on two parameters.
Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems.
Three point boundary value problem for singularly perturbed semilinear differential equations.
Three point value problem for third-order linear differential equation
Three positive solutions for a system of singular generalized Lidstone problems.
Three positive solutions for -Laplacian functional dynamic equations on time scales.
Three positive solutions for -Laplacian functional dynamic equations on time scales.
Three solutions for a discrete nonlinear Neumann problem involving the -Laplacian.
Three solutions for forced Duffing-type equations with damping term.
Three solutions to Dirichlet boundary value problems for -Laplacian difference equations.
Three solutions to discrete anisotropic problems with two parameters
In this note we derive a type of a three critical point theorem which we further apply to investigate the multiplicity of solutions to discrete anisotropic problems with two parameters.
Three symmetric positive solutions for Lidstone problems by a generalization of the Leggett-Williams theorem.
Three-dimensional cooperative irreducible systems with a first integral
Three-point boundary value problem for nonlinear second-order differential equation with parameter
Three-point boundary value problem for nonlinear third-order differential equations with parameter