Spectrum and constant sign solutions for a fractional Laplace problem with sign-changing weight
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123528
Abstract: Abstract In this paper, we study the spectrum of the fractional Laplace operator with sign-changing weight and show that there exist two simple, isolated principal eigenvalues λ 1 + and λ 1 − . By… read more here.
Keywords: constant sign; fractional laplace; sign solutions; sign ... See more keywords
Stability of Liénard Equation
Sign Up to like & getrecommendations! Published in 2018 at "Russian Mathematics"
DOI: 10.3103/s1066369x1810002x
Abstract: We consider a balance stability problem for the second order nonlinear differential equations of the Liénard type. Investigations are carried out by means of constant-sign Lyapunov functions for problems of stability, asymptotical stability (local and… read more here.
Keywords: constant sign; stability; nard equation; stability nard ... See more keywords
Constant-Sign Green’s Function of a Second-Order Perturbed Periodic Problem
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11030139
Abstract: In this paper, we were interested in obtaining the exact expression and studying the regions of constant sign of Green’s function related to a second-order perturbed periodic problem coupled with integral boundary conditions at the… read more here.
Keywords: green function; function; problem; second order ... See more keywords
Constant Sign Solutions to Linear Fractional Integral Problems and Their Applications to the Monotone Method
Sign Up to like & getrecommendations! Published in 2020 at "Mathematics"
DOI: 10.3390/math8020156
Abstract: This manuscript provides some results concerning the sign of solutions for linear fractional integral equations with constant coefficients. This information is later used to prove the existence of solutions to some nonlinear problems, together with… read more here.
Keywords: solutions linear; constant sign; integral problems; sign solutions ... See more keywords