A theory of linear differential equations with fractional derivatives
A theory on perturbations of the Dirac operator.
A third order boundary value problem subject to nonlinear boundary conditions
Utilizing the theory of fixed point index for compact maps, we establish new results on the existence of positive solutions for a certain third order boundary value problem. The boundary conditions that we study are of nonlocal type, involve Stieltjes integrals and are allowed to be nonlinear.
A third order nonlocal boundary value problem at resonance.
A third-order 3-point BVP. Applying krasnosel'skii's theorem on the plane without a Green's function.
A third-order -point boundary-value problem of Dirichlet type involving a -Laplacian type operator.
A three-point boundary value problem for third order differential equations
A three-point boundary-value problem for a hyperbolic equation with a non-local condition.
A three-species food chain system with two types of functional responses.
A tight bound of modified iterative hard thresholding algorithm for compressed sensing
We provide a theoretical study of the iterative hard thresholding with partially known support set (IHT-PKS) algorithm when used to solve the compressed sensing recovery problem. Recent work has shown that IHT-PKS performs better than the traditional IHT in reconstructing sparse or compressible signals. However, less work has been done on analyzing the performance guarantees of IHT-PKS. In this paper, we improve the current RIP-based bound of IHT-PKS algorithm from to , where is the restricted...
A Tikhonov-type theorem for abstract parabolic differential inclusions in Banach spaces
We consider a class of singularly perturbed systems of semilinear parabolic differential inclusions in infinite dimensional spaces. For such a class we prove a Tikhonov-type theorem for a suitably defined subset of the set of all solutions for ε ≥ 0, where ε is the perturbation parameter. Specifically, assuming the existence of a Lipschitz selector of the involved multivalued maps we can define a nonempty subset of the solution set of the singularly perturbed system. This subset is the set of...
A Time-dependent Biochemical System
A time-map approach for non-homogeneous Sturm-Liouville problems.
A topological version of the Ambrosetti-Prodi theorem
The existence of at least two solutions for nonlinear equations close to semilinear equations at resonance is obtained by the degree theory methods. The same equations have no solutions if one slightly changes the right-hand side. The abstract result is applied to boundary value problems with specific nonlinearities.
A trace formula of a boundary value problem for the operator Sturm-Liouville equation.
A transmission problem
A tribute to Bernard Bolzano
A two parameters Ambrosetti-Prodi problem.
A Two Point Boundary Value Problem with a Rapidly Oscillating Solution.
A two-dimensional model for the transmission of dengue fever disease.