Existence of solutions for some Hammerstein type integro-differential inclusions.
Existence of solutions for some nonlinear beam equations.
Existence of solutions for -generalized vector variational-like inequalities.
Existence of solutions of a functional-integral equation in infinite dimensional Banach spaces
Existence of solutions of a nonlinear system modelling fluid flow in porous media.
Existence of solutions of abstract fractional impulsive semilinear evolution equations.
Existence of solutions of the dynamic Cauchy problem on infinite time scale intervals
In the paper, we prove the existence of solutions and Carathéodory’s type solutions of the dynamic Cauchy problem , t ∈ T, x(0) = x₀, where T denotes an unbounded time scale (a nonempty closed subset of R and such that there exists a sequence (xₙ) in T and xₙ → ∞) and f is continuous or satisfies Carathéodory’s conditions and some conditions expressed in terms of measures of noncompactness. The Sadovskii fixed point theorem and Ambrosetti’s lemma are used to prove the main result. The results presented...
Existence of solutions to a nonlocal boundary value problem with nonlinear growth.
Existence of solutions to anti-periodic boundary value problem for nonlinear fractional differential equations with impulses.
Existence of solutions to differential inclusions with delayed arguments.
Existence of solutions to fractional order ordinary and delay differential equations and applications.
Existence of solutions to neutral differential equations with deviated argument.
Existence of solutions to nonlinear Langevin equation involving two fractional orders with boundary value conditions.
Existence of solutions to the system of generalized implicit vector quasivariational inequality problems.
Existence of solutions to third-order -point boundary-value problems.
Existence of symmetric positive solutions for an -point boundary value problem.
Existence of three positive periodic solutions for differential systems with feedback controls on time scales.
Existence of three solutions for a higher-order boundary-value problem.
Existence principle for advanced integral equations on semiline.
Existence Principles for Singular Vector Nonlocal Boundary Value Problems with -Laplacian and their Applications
Existence principles for solutions of singular differential systems satisfying nonlocal boundary conditions are stated. Here is a homeomorphism onto and the Carathéodory function may have singularities in its space variables. Applications of the existence principles are given.