... Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions Erlin Guo∗ and Peihao Zhao School of Mathematics and Statistics, ... years, for example, for the Laplacian with nonlinear boundary conditions see [26–30], for elliptic systems with nonlinear boundary conditions see [31, 32],...
... differential equations with variable delays Proc Am Math Soc 136, 909–918 (2008) 19 Ardjouni, A, Djoudi, A: Fixed points and stability in linear neutral differential equations with variable delays ... TA: Stability by fixed point theory or Liapunov’s theory: a comparison Fixed Point Theory 4, 15–32 (2003) 10 Zhang, B: Fixed points and stability in di...
... doi:10.1186/1687-2770-2011-33 Cite this article as: Zhang et al.: Infinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian Boundary Value Problems 2011 2011:33 ... XJ, Yuan, R: Existence of periodic solutions for p(t)-Laplacian systems Nonlinear Anal 70, 866–880 (2009) doi:10.1016/j.na.2008.01.017 15 Bartsch, T: Infinitely...
... this article as: Tahamtani and Peyravi: Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions Boundary Value Problems 2011 2011:19 Submit your manuscript ... Qualitative Estimates for Partial Differential Equations, An Introduction CRC Press, Roca Raton (1996) Horgan, CO: Decay estimates for the biharmonic equat...
... of impulsive difference equations with distributed delays By establishing an impulsive delay difference inequality and using the properties of “r-cone” and eigenspace of the spectral radius of ... doi:10.1186/1029-242X-2011-8 Cite this article as: Li et al.: Difference inequality for stability of impulsive difference equations with distributed delay...
... λ∗ > 0, for every λ ∈ −λ∗ , λ∗ , problem admits at least three distinct solutions Example 4.2 Let λ From Example 4.1, we can obtain that the following resonant Duffingtype equations with damping: ... r > such that, for every λ ∈ −λ∗ , λ∗ , problem 1.1 admits at least three distinct solutions which belong to B 0, r ⊆ H Furthermore, problem 1.2 admits at least three distinct s...
... studies the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order q ∈ 1, with three-point nonlocal fractional boundary conditions involving the fractional ... J Nieto, Existence of solutions for nonlocal boundary value problems of higherorder nonlinear fractional differential equations, ” Abstract and...
... extensively, for example, see 1–4 and references therein However, there are not many concerning the pLaplacian problems on time scales, especially for p-Laplacian functional dynamic equations on time ... and obtained sufficient conditions for the existence of positive solutions, Li and Liu 10 studied the eigenvalue problem for second-order nonlinear dynamic equati...
... evolution equations, ” Journal of Evolution Equations, vol 3, no 2, pp 361–373, 2003 [10] W M Ruess, “Existence of solutions to partial functional evolution equations with delay,” in ´ Functional ... solutions to partial functional- differential equations with delay,” Advances in Differential Equations, vol 4, no 6, pp 843–876, 1999 Hassane Bouzahir 13 [12] W M Ruess, “...
... Analyticity and discrete maximal regularity on L p -spaces, Journal of Functional Analysis 183 (2001), no 1, 211–230 , Maximal regularity of discrete and continuous time evolution equations, Studia ... difference operator of the first Discrete maximal regularity Maximal regularity for retarded functional difference equations We get the following result about max...
... purposes and some stability definitions of a bounded solution of (1.1) In Section 3, we discuss the existence of periodic solutions of (1.1) In Section 4, we discuss the existence of almost periodic solutions ... proof of Theorem 3.4, we can show that { p(n)} is an ω -periodic solution of (3.1) Almost periodic systems In this section, we discuss the existence of...
... dense in C([0,1], R) with the sup-norm See [5] for more examples and remarks concerning nondensely defined operators Recently, evolution functional differential equations with nondensely defined linear ... ϕq (s)ds (3.19) Perturbed functional differential equations and now since S (t) is a compact operator for t > 0, the set Yε (t) = {Fε (y)(t) : y ∈ Bq } is relatively compa...
... real-valued function, the functions Q : R × R → R and G : R × R × R → R are continuous In the process, the authors used Fixed Point Theory for the Functional Differential Equations with Finite Delay ... (v(t), vt )| < t∈[0,∞) (5.4) Fixed Point Theory for the Functional Differential Equations with Finite Delay 59 Finally, we need only to prove...
... convergence of strong error of EM type approximation schemes for stochastic functional differential equations, e.g in [10], [13], [12], [1], [7], [8] for stochastic differential delay equations, ... functional differential equations with distributed memory term, Monte Carlo Methods Appl 3-4 (2004) 235-244 [3] E Buckwar, One-step approximations for stochastic...
... attractor for a semilinear degenerate parabolic equation, Electron J Differ Equ 61 (2009), 1-13 [3] C.T Anh and L.T Tuyet, Strong solutions to a strongly degenerate semilinear parabolic equation, ... Phong, Global attractor for a semilinear parabolic equation involving Grushin operator, Electron J Differ Equ 32 (2008), 1-11 [2] C.T Anh and T.D Ke, Existen...