Existence of solutions of a nonlocal boundary value problem.
Existence of solutions of impulsive boundary value problems for singular fractional differential systems
A class of impulsive boundary value problems of fractional differential systems is studied. Banach spaces are constructed and nonlinear operators defined on these Banach spaces. Sufficient conditions are given for the existence of solutions of this class of impulsive boundary value problems for singular fractional differential systems in which odd homeomorphism operators (Definition 2.6) are involved. Main results are Theorem 4.1 and Corollary 4.2. The analysis relies on a well known fixed point...
Existence of solutions of second order boundary value problems with integral boundary conditions and singularities.
Existence of solutions to a nonlocal boundary value problem with nonlinear growth.
Existence of solutions to a third-order multi-point problem on time scales.
Existence of solutions to anti-periodic boundary value problem for nonlinear fractional differential equations with impulses.
Existence of solutions to boundary value problems for the discrete generalized Emden-Fowler equation.
Existence of solutions to first-order singular and nonsingular initial value problems.
Existence of solutions to nonlinear Langevin equation involving two fractional orders with boundary value conditions.
Existence of solutions to second order ordinary differential equations having finite limits at infinity.
Existence of solutions to third-order -point boundary-value problems.
Existence of symmetric positive solutions for an -point boundary value problem.
Existence of three anti-periodic solutions for second-order impulsive differential inclusions with two parameters
Applying two three critical points theorems, we prove the existence of at least three anti-periodic solutions for a second-order impulsive differential inclusion with a perturbed nonlinearity and two parameters.
Existence of three monotone solutions of nonhomogeneous multipoint BVPs for second-order differential equations.
Existence of three positive solutions for -point discrete boundary value problems with -Laplacian.
Existence of three positive solutions to nonlinear boundary value problems.
Existence of three solutions for a higher-order boundary-value problem.
Existence of three solutions for sytems of multi-point boundary value problems.
Existence of trivial and nontrivial solutions of a fourth-order ordinary differential equation.
Existence of two solutions for quasilinear periodic differential equations with discontinuities
In this paper we examine a quasilinear periodic problem driven by the one- dimensional -Laplacian and with discontinuous forcing term . By filling in the gaps at the discontinuity points of we pass to a multivalued periodic problem. For this second order nonlinear periodic differential inclusion, using variational arguments, techniques from the theory of nonlinear operators of monotone type and the method of upper and lower solutions, we prove the existence of at least two non trivial solutions,...